10. Infinite Sequences and Series

Comparison Tests For Convergence — Quiz

Test your understanding of comparison tests for convergence with 5 practice questions.

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Practice Questions

Question 1

Which statement best describes the direct comparison test for series with nonnegative terms?

Question 2

Which series is a $p$-series that converges?

Question 3

Use the direct comparison test to determine whether $\sum_{n=1}^{\infty} \frac{1}{n^2+1}$ converges or diverges.

Question 4

Use the direct comparison test to determine whether $\sum_{n=1}^{\infty} \frac{1}{\sqrt{n}}$ converges or diverges.

Question 5

Which inequality is useful to show that $\sum_{n=1}^{\infty} \frac{n}{n^2+4}$ diverges by comparison?