Intermediate Calculus Quiz – Test Your Skills
Ten multiple‑choice items covering limits, derivatives, integrals, and series, designed for learners with a solid calculus foundation.
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?
- 2
Find the derivative of the function e^{3x^{2}} with respect to x.
- 3
Evaluate the definite integral from 0 to 2 of 3x^{2} dx.
- 4
What is the sum of the first five terms of the arithmetic sequence that starts at 4 and increases by 3 each step?
- 5
Determine the radius of convergence for the power series Σ n! x^{n}.
- 6
Find the limit as x grows without bound of (ln x)/x.
- 7
Compute the derivative of ln(sin x).
- 8
Integrate the function 1/(x^{2}+4) with respect to x.
- 9
For f(x)=x^{3}-6x^{2}+9x, which x‑values make f'(x)=0?
- 10
Evaluate the improper integral from 1 to infinity of 1/x^{2} dx.
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