Mid-Level Calculus Quiz: Derivatives to Series
Eight medium-difficulty calculus questions covering key concepts without requiring advanced theory.
Quiz Questions
Answer all questions below and test your knowledge.
- 1
What is the derivative of f(x)=3x^2‑5x+2?
- 2
Evaluate the limit: lim_{x→0} (sin x)/x.
- 3
Compute the definite integral ∫_{0}^{2} (4‑x) dx.
- 4
Find the second derivative of f(x)=x^3‑3x^2+2x.
- 5
Which series converges absolutely?
- 6
What is the antiderivative of f(x)=2x?
- 7
Determine the radius of convergence for the power series Σ_{n=0}^{∞} (x^n)/n!.
- 8
Find the value of the limit lim_{x→∞} (1+1/x)^x.
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