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.
Q1:
True or False: If as , then is convergent.
- Atrue
- Bfalse
Q2:
What can we conclude by applying the term divergence test in the series ?
- AThe series diverges.
- BThe divergence test is inconclusive.
Q3:
What can we conclude by applying the term divergence test in the series ?
- AThe series diverges.
- BThe divergence test is inconclusive.
Q5:
What can we conclude by applying the term divergence test in the series ?
- AThe series converges.
- BThe divergence test is inconclusive.
Q7:
True or False: If as , then the term divergence test fails for .
- ATrue
- BFalse
Q8:
Using the term test, determine whether the series is divergent or the test fails.
- AThe test fails.
- BThe series is divergent.
Q9:
Using the nth term test, determine whether the series is divergent or the test fails.
- AThe test fails.
- BThe series is divergent.
Q10:
Using the term test, determine whether the series is divergent or the test fails.
- AThe test fails.
- BThe series is divergent.
Q11:
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.
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.
Q14:
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.