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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.