# The Integral Test Exercises

### Example 1

If the terms of a series approach zero, must the series converge? Justify or provide a counterexample.

### Example 2

Does

converge or diverge?

### Example 3

For the series, determine if it's okay to use the integral test. If so, use the integral test to determine whether the series converges or diverges.

### Example 4

For the series, determine if it's okay to use the integral test. If so, use the integral test to determine whether the series converges or diverges.

### Example 5

For the series, determine if it's okay to use the integral test. If so, use the integral test to determine whether the series converges or diverges.

### Example 6

For the series, determine if it's okay to use the integral test. If so, use the integral test to determine whether the series converges or diverges.

### Example 7

For the series, determine if it's okay to use the integral test. If so, use the integral test to determine whether the series converges or diverges.