MCQs Questions for Class 11 Maths Chapter 13 Limits and Derivatives

# MCQs Questions for Class 11 Maths Chapter 13 Limits and Derivatives

## MCQs Questions for Class 11 Maths Chapter 13 Limits and Derivatives

In this 21st century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should focus on the MCQs questions. Thus, let’s solve these MCQs questions to make our foundation strong.

In this post, you will find 15 MCQs questions for class 11 maths chapter 13 limits and derivatives.

## MCQs Questions for Class 11 Maths Chapter 13 Limits and Derivatives

1. The value of Limx→0 {sin (a + x) – sin (a – x)}/x is
(a) 0
(b) 1
(c) 2 cos a
(d) 2 sin a

2. Find the derivative of ex2.
(a) ex2
(b) 2x
(c) 2ex2
(d) 2xex2

3. The value of Limx→-1 [1 + x + x² + ……….+ x10] is
(a) 0
(b) 1
(c) -1
(d) 2

4. What is the value of d/dx (sin x tan x)?
(a) sin x + tan x sec x
(b) cos x + tan x sec x
(c) sin x + tan x
(d) sin x + tan x sec2 x

5. The value of Limx→0 log(1 – x) is equal to
(a) 0
(b) 1
(c) 1/2
(d) None of these

6. What is the value of d/dx (ex tan x) at x = 0?
(a) 0
(b) 1
(c) -1
(d) 2

7. The derivative of [1 + (1/x)] /[1 - (1/x)] is
(a) 1/(x – 1)²
(b) -1/(x – 1)²
(c) 2/(x – 1)²
(d) -2/(x – 1)²

8. What is the number of critical points of f(x) = |x2 – 1| / x2?
(a) 0
(b) 1
(c) 2
(d) 3

9. The expansion of log(1 – x) is
(a) x – x²/2 + x³/3 – ……..
(b) x + x²/2 + x³/3 + ……..
(c) -x + x²/2 – x³/3 + ……..
(d) -x – x²/2 – x³/3 – ……..

10. What will be the value of dy/dx if x = a sec2 Î¸ and y = a tan3 Î¸ at Î¸ = Ï€/4?
(a) 1/2
(b) 3/4
(c) 3/2
(d) 1/4

11. The value of Limn→∞ (sin x/x) is
(a) 0
(b) 1
(c) -1
(d) None of these

12. If y = (3x – 4)/(x + 2), then what is the value of dy/dx?
(a) dy/dx
(b) y
(c) 1/(dy/dx)
(d) A constant

13. The value of  Limx→0 sin (ax)/(bx) is
(a) 0
(b) 1
(c) a/b
(d) b/a

14. If y = 1/(1 + x + x2 + x3), then what is the value of y’ at x = 0?
(a) 0
(b) 1
(c) -1
(d) ½