- Thread starter
- #1
Alexmahone
Active member
- Jan 26, 2012
- 268
Alternating series test: If $\{a_n\}$ is positive and strictly decreasing, and $\lim a_n=0$, then $\sum(-1)^n a_n$ converges.
Is the alternating series test still valid if "strictly decreasing" is omitted? Give a proof or counterexample.
Is the alternating series test still valid if "strictly decreasing" is omitted? Give a proof or counterexample.
Last edited: