I am studying calculus, and now I got some practice from my lecture which is as follows.
Decide whether the series $\sum_{n=1}^{\infty}\frac{({-1})^n}{(n-1)}$ is convergent, divergent, absolute convergent, or conditionally convergent.
Before using some method, I noticed that this series will have a term $\frac{1}{0}$ as its first term.
What should I do with this term? Should I ignore this term and go on with all test methods like alternating series test or ratio test and so on? Or I have to do something first with that term before moving to another method?