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

 0

 1

 a

 1/a

2. 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

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

 0

 1

 2

 -2

4. Lim_x→0 sin (ax)/bx is

 0

 1

 a/b

 b/a

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

 1/x

 -1/x

  -1/x²

 1/x²

6.

 3

 2

 1

 0

7.  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

8. The value of Lim_x→0 ax is

 0

 1

 1/2

 3/2

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

 0

 1

 -1

 n

10. 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

11.

 9 p (log 4)

 3 p (log 4)³

 12 p (log 4)³

 27 p (log 4)²

12.

 log a + log b

 log (a/b)

  log a log b

  None of these

13. The value of Lim_n→∞ (sin x/x) is

 0

 1

 -1

 None of these

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

 0

 1

 2/3

 3/2

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

 1

 0

 -1

 does not exist

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