Question

How do I test this series for divergence or convergence?

Answer 1

\[\sum_{1}^{\infty} (-1)^{n-1} e ^{7/n}\]

Answer 2

All I know is that it is alternating. But I don't know how to start it.

Answer 3

nevermind, I believe it diverges because when I test for divergence by taking the limit as it approaches infinity, I get that it is 1, not 0, so that automatically makes it divergent. Is my reasoning correct?

Answer 4

right..eventually you are pretty much just adding -1 and 1 forever and ever