Answer
1) $0.5$
2) $0.05$
3) $0.0111$
4) $0.0037$
5) $0.0015$
6) $0.0008$
7) $0.0004$
8) $0.0002$
The series appears to be convergent, as the values of the sequence get smaller and smaller toward the value of zero, as n approaches infinity.
Work Step by Step
A convergent series is one that approaches a certain value, as opposed to a divergent series which will approach infinity. If the values of the sequence approach zero, and the function is always positive when it is defined, the series will approach a certain value.
