1. The problem statement, all variables and given/known data My prof gave us an extra credit opportunity for a few extra points on the final exam(tomorrow). He told us to go find an example of an alternating series that is decreasing, its limit->0, and it diverges. So far I haven't seen any examples, plus I have sat around some tonight instead of studying for the final trying to figure this one out. 2. Relevant equations Alternating series test. But I am bad at Latex so Ill spare everyone. 3. The attempt at a solution I'm not sure if im right on this one, but how about an alternating p-series with p=1? If you take the limit of 1/n as n->infinity the series goes to zero. Its also decreasing AND according to the p-series test, if p<=1 then it diverges. Is this a good answer or..? We have actually used this on before in class...so he may be looking for a more original alternating series. By the way, I have to actually make up my own problem and solve it, but that will be the easy part.