2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function

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Students can Download Basic Maths Question Bank Chapter 17 Limit and continuity of a function Questions and Answers, Notes Pdf, 2nd PUC Basic Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and to clear all their doubts, score well in final exams.

Karnataka 2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function

2nd PUC Basic Maths Limit and Continuity of a Function One Mark Questions and Answers

Question 1.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 1
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Question 2.
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 3.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 5
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Question 4.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 7
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Question 5.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 9
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 10

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 6.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 11
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 12

Question 7.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 13
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Question 8.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 15
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 16

2nd PUC Basic Maths Limit and Continuity of a Function Two Marks Questions and Answers

Question 1.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 17
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 18

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 2.
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Question 3.
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Question 4.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 23
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Question 5.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 25
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 6.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 27
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 28

Question 7.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 29
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Question 8.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 31
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 32

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 9.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 33
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 34

2nd PUC Basic Maths Rationalization Method Three or Four Marks Questions and Answers

Question 1.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 35
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 36

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 2.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 37
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 38

 

Question 3.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 39
Answer:
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Question 4.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 41
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 42

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 5.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 43
Answer:
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Question 6.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 46
Answer:

2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 47

2nd PUC Basic Maths Limits Tending to ∞ Three or Four Marks Questions and Answers

Question 1.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 48
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 49

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 2.
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Question 3.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 52
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Question 4.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 54
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 55

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 5.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 56
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 57

Question 6.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 58
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 59

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 7.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 60
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 61

Question 8.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 62
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 63

Question 9.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 64
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 65

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 10.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 66
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 67

Question 11.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 68
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 69

Question 12.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 70
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 71

Question 13.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 72
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 73

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 14.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 74
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 150

 

2nd PUC Basic Maths Limits and Continuity of a Function Five or Six Marks Questions and Answers

Question 1.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 76
Answer:
(i.e,n is +ve, -ve and a fraction.)

Problems from standand limits with solution. (One or Two M. Q.)

Evaluate the soloving:

Question 1.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 77
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 78

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 2.

2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 79
Answer:
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Question 3.
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Question 4.
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Question 5.
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Question 6.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 87
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 7.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 89
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 90

Question 8.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 91
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Question 9.
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Question 10.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 95
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Question 11.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 97
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 12.
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 100

Question 13.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 101
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Question 14.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 103
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 104
Put y = x – 1
y + 1 =x
As x → 1
y → 40

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 15.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 105
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 106

Question 16.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 107
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Question 17.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 109
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Question 18.
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Question 19.
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Question 20.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 115
Answer:
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 21.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 117
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 118

Question 22.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 119
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 120

Continuity of a function:
A function y =fx) is said to be continuous at x = a if f(a) exists and ¡s equal to f(a)
i.e. \(\lim _{x \rightarrow a}\) f(x) = f(a)

OR

A function y = f(x) is said to be continuous at x = a. If \(\lim _{x \rightarrow a^{+}}\) f(x) = \(\lim _{x \rightarrow a^{-}}\) = f(x) = f(a) i.e., R.H.L. = L.H.L = f(a).

2nd PUC Basic Maths Continuity of a Function Three or Four Marks Questions and Answers

Question 1.
S.T. the function f(x) = |x| is continuous at x = 0.
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 121

Question 2.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 122
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 123

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 3.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 124
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 125

Question 4.
Define f(0) So that f(x) = \(\frac{x}{1-\sqrt{1-x}}\) becomes continous at x = 0 and f(0) = 2.
Answer:
f(0) = \(\frac{0}{1-\sqrt{1-0}}=\frac{0}{1-1}=\frac{0}{0}\) form, which is inditerminate hence rationalize the D.N.R.

2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 126

Question 5.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 127
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 128

Question 6.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 129
Answer:
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2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 7.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 131
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 132

Question 8.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 133
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 134

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 9.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 135
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 136
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Question 10.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 138
Answer:
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Question 11.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 140
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 141

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 12.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 142
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 143

Question 13.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 144
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 145

Question 14.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 146
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 147

2nd PUC Basic Maths Question Bank Chapter 17 Limit and continuity of a function

Question 15.
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 148
Answer:
2nd PUC Basic Maths Question Bank Chapter 17 Limit and Continuity of a Function 149