We have compiled the MCQ Questions for Class 11 Maths Chapter 13 Limits and Derivatives with Answers Pdf free download covering the entire syllabus for JEE and Boards. Practice MCQ Questions for Class 11 Maths with Answers on a daily basis and score well in exams. Refer to Limits and Derivatives Class 11 MCQs Quiz Questions with Answers here along with a detailed explanation.

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Limits and Derivatives Class 11 MCQs Questions with Answers

MCQ Questions for Class 11 Maths Chapter 13 Limits and Derivatives with Answers

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1. If f(x) = (x + 1)/x then df(x)/dx is

 1/x

 -1/x

  -1/x²

 1/x²

2. The value of Lim_x→0 ax is

 0

 1

 1/2

 3/2

3. The value of the limit Lim_x→0 {log(1 + ax)}/x is

 0

 1

 a

 1/a

4. Lim_x→0 sin (ax)/bx is

 0

 1

 a/b

 b/a

5.

 log a + log b

 log (a/b)

  log a log b

  None of these

6. If f(x) = x × sin(1/x), x ≠ 0, then Lim_x→0 f(x) is

 1

 0

 -1

 does not exist

7.

 3

 2

 1

 0

8. The value of Lim_x→0 (1/x) × sin^-1 {2x/(1 + x²) is

 0

 1

 2

 -2

9.

 9 p (log 4)

 3 p (log 4)³

 12 p (log 4)³

 27 p (log 4)²

10. The value of Lim_n→∞ (sin x/x) is

 0

 1

 -1

 None of these

11.  The function, f(x) = cos 1/x-a for x≠a and f(a) = 0, is 

  continuous but not derivable at x = 0

 derivable at x = a

 not continuous at x = a

  none of these

12. The value of Lim_n→∞ {1² + 2² + 3² + …… + n²}/n³ is

 0

 1

 -1

 n

13. Lim_x→0 (e^x² – cos x)/x² is equals to

 0

 1

 2/3

 3/2

14. Let f(x) = cos x, when x ≥ 0 and f(x) = x + k, when x < 0 Find the value of k given that Lim_x→0 f(x) exists.

 0

 1

 -1

 None of these

15. The derivate of the function sin x + cos x is :

 sin x + cos x

  – (cos x + sin x)

  sin x – cos x

 cos x – sin x

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