# NCERT Class 12-Mathematics: Chapter –5 Continuity and Differentiability Part 29

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**Question 88:**

If , where , then the value of the function at , so that the function is continuous at , is

(A)

(B)

(C)

(D) None of these

**Answer: (A)**

**Question 89:**

If is continuous at , then,

(A)

(B)

(C)

(D)

**Answer: (C)**

**Question 90:**

Let . Then

(A) is everywhere differentiable

(B) is everywhere continuous but not differentiable at .

(C) is everywhere continuous but not differentiable at .

(D) None of these

**Answer: (B)**

**Question 91:**

If is equal to

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 92:**

If is equal to

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 93:**

The derivative of is

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 94:**

If , then is

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 95:**

The value of in Rolle’s Theorem for the function in the interval is

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 96:**

For the function, the value of for mean value theorem is

(A)

(B)

(C)

(D) None of these

**Answer: (B)**