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?