# Worksheet: The nth Term Divergence Test

In this worksheet, we will practice applying the nth term test for divergence which states that a series diverges if the limit of its nth term does not approach zero.

**Q7: **

True or False: If as , then the term divergence test fails for .

- ATrue
- BFalse

**Q10: **

Using the term test, determine whether the series is divergent or the test fails.

- AThe test fails.
- BThe series is divergent.

**Q12: **

Use the term divergence test to determine whether the series is divergent or whether the test is inconclusive.

- AThe test is inconclusive.
- BThe series is divergent.

**Q15: **

Use the term divergence test to determine whether the series is divergent or whether the test is inconclusive.

- AThe test is inconclusive.
- BThe series is divergent.