# The Divergence Test Exercises

### Example 1

Use only the Divergence Test to determine if the statement is true, false, or can't be decided yet.

The series converges.

### Example 2

Use only the Divergence Test to determine if the statement is true, false, or can't be decided yet.

The series diverges.

### Example 3

Use only the Divergence Test to determine if the statement is true, false, or can't be decided yet.

The series might converge.

### Example 4

Use only the Divergence Test to determine if the statement is true, false, or can't be decided yet.

The series converges.

### Example 5

Use only the Divergence Test to determine if the statement is true, false, or can't be decided yet.

The series diverges.

### Example 6

Use the divergence test to determine if the following series MUST diverge.

### Example 7

Use the divergence test to determine if the following series MUST diverge.

### Example 8

Use the divergence test to determine if the following series MUST diverge.

### Example 9

Use the divergence test to determine if the following series MUST diverge.

### Example 10

Use the divergence test to determine if the following series MUST diverge.