Limits and Derivatives Quiz - CBSE Class 11 Mathematics

Free practice quiz: Limits and Derivatives (CBSE Class 11 Mathematics). 46 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 11 Mathematics practice quiz has 46 multiple-choice questions on Limits and Derivatives. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. Find the value of lim (x -> 3) (x^2 - 9) / (x - 3).

   1. 3
   2. 6
   3. 0
   4. 9
   Show answer

   Answer: B. 6

2. What is the value of the limit lim(x -> 0) (sin x)/x?

   1. 0
   2. 1
   3. ∞
   4. Does not exist
   Show answer

   Answer: B. 1

3. Evaluate the limit lim(x -> ∞) (3x^2 + 4)/(x^2 - 2).

   1. 3
   2. 0
   3. ∞
   4. 1
   Show answer

   Answer: A. 3

4. What is the limit of the function f(x) = 3x as x approaches 2?

   1. 3
   2. 6
   3. 5
   4. 0
   Show answer

   Answer: B. 6

5. What is the limit: lim(x->0) (tan x)/x?

   1. 0
   2. 1
   3. undefined
   4. infinity
   Show answer

   Answer: B. 1

More questions in this quiz

Answers and explanations are in the full quiz.

1. Evaluate the limit: lim (x -> 0) (sin x) / x.
2. What does the limit lim (x -> ∞) (1/x) equal?
3. Determine the derivative of f(x) = x^3 at x = 1.
4. What is the derivative of sin(x)?
5. Calculate the limit: lim (x -> 2) (x^2 - 4)/(x - 2).
6. The derivative of a function gives us information about its:
7. If the limit of f(x) as x approaches a is L, what can you say about f(a)?
8. Evaluate the limit: lim (x -> 0) (e^x - 1)/x.
9. Compute the limit: lim(x -> 3) (x^2 - 9)/(x - 3).
10. Find the limit: lim(x -> 1) (x^3 - 1)/(x - 1).
11. What is the derivative of f(x) = x^2 at x = 2?
12. Determine the derivative of the function f(x) = 3x^3 - 5x + 7.
13. What is the limit lim(x -> 0) (e^x - 1)/x?
14. Compute the limit lim(x -> 0) (1 - cos x)/x^2.
15. Find the second derivative of f(x) = x^4.
16. If f(x) = x^3 - 3x, then f''(x) = ?
17. What is the derivative of the function f(x) = sin x?
18. Calculate the limit: lim(x -> -2) (x^2 + 4)/(x + 2).
19. If f(x) = x^5 - 10x^3 + 5x, then f'(2) = ?
20. Determine the limit lim(x -> -∞) (2x^3 + 5)/(4x^3 - 3).
21. Find the derivative of f(x) = e^x.
22. Calculate the limit lim(x -> 1) (x^2 - 1)/(x - 1)^2.
23. Evaluate the limit: lim(x -> 0) (tan x)/x.
24. What is the derivative of f(x) = ln(x)?
25. Evaluate the limit: lim(x->1) (x^2 - 1)/(x - 1).
26. If f(x) = 2x^2 + 3x - 5, what is f'(x)?
27. Find the limit: lim(x->0) (sin x)/x.
28. Evaluate the derivative of f(x) = ln(x) at x = e.
29. What is the limit: lim(x->∞) (1/x)?
30. If f(x) = x^4, what is f''(x)?
31. Evaluate the limit: lim(x->2) (x^2 - 4)/(x - 2).
32. What is the derivative of f(x) = cos(x)?
33. Find the second derivative of f(x) = 3x^3 - 2x + 1.
34. Evaluate the limit: lim(x->∞) (5x^2 + 3)/(2x^2 + 1).
35. What is the derivative of f(x) = e^x?
36. Calculate lim(x->0) ((e^x - 1)/x).
37. Evaluate the limit: lim(x->0) (x^2 * sin(1/x)).
38. What is the limit of f(x) = sqrt(x) as x approaches 0?
39. Find the derivative of f(x) = x^2 * ln(x).
40. Calculate the limit: lim(x->3) (x^2 - 9)/(x - 3).
41. Evaluate the derivative of f(x) = x^4 + 4x^2 at x = 1.

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