10. Convergence Tests I

Divergence Test — Quiz

Test your understanding of divergence test with 5 practice questions.

Practice Questions

Question 1

What is the Divergence test for a series $\sum a_n$?

Question 2

By the Divergence test, what happens to the series $\sum_{n=1}^{\infty} \frac{n}{n+1}$?

Question 3

What does the Divergence test conclude about the series $\sum_{n=1}^{\infty} \frac{1}{n}$?

Question 4

Find $\lim_{n\to\infty} \frac{2n^2+1}{n^2-5}$.

Question 5

If $\lim_{n\to\infty} a_n = 0$, what does the Divergence test tell us about $\sum a_n$?