Intermediate Calculus Quiz – Test Your Skills

Ten multiple‑choice items covering limits, derivatives, integrals, and series, designed for learners with a solid calculus foundation.

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Total Questions

10

Difficulty Level

medium

Progress

0/0

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Quiz Questions

Answer all questions below and test your knowledge.

1
What is the limit of sin x divided by x as x approaches zero?
Question 1
2
Find the derivative of the function e^{3x^{2}} with respect to x.
Question 2
3
Evaluate the definite integral from 0 to 2 of 3x^{2} dx.
Question 3
4
What is the sum of the first five terms of the arithmetic sequence that starts at 4 and increases by 3 each step?
Question 4
5
Determine the radius of convergence for the power series Σ n! x^{n}.
Question 5
6
Find the limit as x grows without bound of (ln x)/x.
Question 6
7
Compute the derivative of ln(sin x).
Question 7
8
Integrate the function 1/(x^{2}+4) with respect to x.
Question 8
9
For f(x)=x^{3}-6x^{2}+9x, which x‑values make f'(x)=0?
Question 9
10
Evaluate the improper integral from 1 to infinity of 1/x^{2} dx.
Question 10