When I receive a down vote I question my maths and that's ok. What did I do wrong in this hint? It appears correct. If $\sum |a_k|$ is convergent, is limit of $a_k=0$?

It only gives me less confidence to answer when a user abhorrently trolls the site downvoting everywhere.

## closed as off-topic by Don Larynx, user642796Dec 23 '13 at 16:22

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• Even though the downvoter has not commented (yet), several suggestions have now been provided. – robjohn Dec 23 '13 at 13:09
• "It only gives me less confidence to answer when a user abhorrently trolls the site downvoting everywhere." You can't have that perspective and be a significant contributor here. You cannot control who downvotes you sometimes - it is what it is. Looking at your answer, I see what people are saying...really, you should really spend less time defending what you did and more time looking through the commenters' eyes. And, well, forget about it: lots more math to do, so move on. – Ron Gordon Dec 23 '13 at 14:32
• This question appears to be off-topic because it is about a specific answer which has since been deleted. – user642796 Dec 23 '13 at 16:22
• @Don please, if you feel inclined, have a look at my comment to Frank's question meta.math.stackexchange.com/questions/12196/… – David Holden Dec 23 '13 at 18:34
• Due to this meta post, I took a look at your answer and I do not think that it is a good answer because it talks about a limit that does not exist, and you reply to this problem that the result is true in that case, anyway. This is not a mathematically sound reply. So, I am not surprised at all that someone down-voted it. Talking about "trolling" is way out of line. – Phira Dec 24 '13 at 22:45