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# Chapter 13 Limits and Derivatives Ex-13.1 Interview Questions Answers

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Question 1 : Evaluate the Given limit:

Given

Substituting x = 3, we get

= 3 + 3

= 6

Question 2 : Evaluate the Given limit:

Given limit:

Substituting x = π, we get
= (π – 22 / 7)

Question 3 : Evaluate the Given limit:

Given limit:
Substituting r = 1, we get

= π(1)2
= π

Question 4 : Evaluate the Given limit:

Given limit:

Substituting x = 4, we get
= [4(4) + 3] / (4 – 2)
= (16 + 3) / 2
= 19 / 2

Question 5 : Evaluate the Given limit:

Given limit:

Substituting x = -1, we get

= [(-1)10 + (-1)5 + 1] / (-1 – 1)
= (1 – 1 + 1) / – 2
= – 1 / 2

Question 6 : Evaluate the Given limit:

Given limit:

= [(0 + 1)5 – 1] / 0
=0
Since, this limit is undefined
Substitute x + 1 = y, then x = y – 1

Question 7 : Evaluate the Given limit:

Question 8 : Evaluate the Given limit:

Question 9 : Evaluate the Given limit:

= [a (0) + b] / c (0) + 1

= b / 1

= b

Question 10 : Evaluate the Given limit:

krishan