# Class 11 Mathematics Chapter 13 Limits and Derivatives MCQ Questions with Answer

Limits and Derivatives Class 11 MCQ is one of the best strategies to prepare for the CBSE Class 11 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Limits and Derivatives class 11 MCQ which will help them all through their board test.

## Limits and Derivatives Class 11 MCQ Questions with Answer

Class 11 Math MCQ with answers are given here to Chapter 13 Limits and Derivatives. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 11 Mathematics syllabus. By Solving these Class 11 MCQs, you will be able to analyze all of the concepts quickly in the Chapter and get ready for the Class 11 Annual exam.

Learn Limits and Derivatives Class 11 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 11 Limits and Derivatives MCQ with answers given below.

Question 1. The value of limx→0 sin22x / sin24x
(a) 1/2
(b) 1/4
(c) 1/4
(d) 1/2

C

Question 2. limx→0 1- Cos2x / x2 is equal to
(a) 2
(b) –2
(c) 3
(d) –3

A

Question 3. limx→π/6 Sinx / x-π is equal to
(a) 1
(b) 2
(c) –1
(d) –2

C

Question 4. limx→0 2Sinx – Sin2x / X3 is equal to
(a) –1
(b) 1
(c) 2
(d) –2

B

Question 5. The value of limx→1 (1+X)6 – 1 / (1+X2) – 1
(a) 20
(b) 21
(c) 15
(d) 17

B

Question 6. The value of limx→1 X7 – 2X5 + 1 / X3 -3X2 + 2
(a) 0
(b) 1
(c) –1
(d) 3

B

Question 7. The value of

(a)  8/5
(b) 7/5
(c) 8/5
(d) None of these

C

Question 8. Find n, if limx→2 Xn – 2n / x-2 = 80, n ∈ N.
(a) 5
(b) 6
(c) 4
(d) 7

A

Question 9.The value of

(a) 7/3
(b) 7/2
(c) 7/3
(d) 7/2

D

Question 10. limΘ→0 1 – cos4Θ / 1 – cos6Θ is equal to
(a) 4/9
(b) 1/2
(c) 1/2
(d) –1

A

Whoever needs to take the CBSE Class 11 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 11 Mathematics Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Limits and Derivatives Class 11 MCQ are ready by the subject specialists themselves.

Question 11. If f(x) = 1 + x + x2/2 +….. x100 / 100 then f ‘(1) is equal to
(a) 1 /100
(b) 100
(c) does not exist
(d) 0

B

Question 12. If f x = x- 4 / 2√x then f’ (1) is
(a) 5/4
(b) 4/5
(c) 1
(d) 0

A

Question 13.  limx→0 cosecx -cotx /x is equal to
(a) 1 /2
(b) 1
(c) 1/2
(d) 1

C

Question 14.  limx→π/6 Cot2x -3 / Cosecx -2 is equal to
(a) 3
(b) 4
(c) 2
(d) 1

B

Question 15. limx→a Sinx – Sina /√x -√a is equal to
(a)  a cos a
(b) a cos a
(c) 2a cos a
(d) 2a cos a

D

Question 16. limx→0 x2 cosx / 1 -cosx is equal to
(a) 2
(b) 3/2
(c) 3/2
(d) 1

A

Question 17. limx→0 (1+x)n – 1 is equal to
(a) n
(b) 1
(c) n
(d) 0

A

Question 18. If y = sinx + cosx / sinx – cosx , then dy/dx at x=0 is
(a) –2
(b) 0
(c) 1/2
(d) does not exist

A

Question 19. limx→1 Xm-1 / Xn-1 is equal to
(a) 1
(b) m/n
(c) m/n
(d) m2/n2

B

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