Mathematica Stack Exchange is a question and answer site for users of Mathematica. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I would like to show that the following (and other similar formulae) tends to zero.

Limit[Sum[(2*E*n)^w/(w^(n/2+w)), {w,2,n}],n->Infinity]

What's the right way to do this in Mathematica?

share|improve this question
You can play around with ExpToTrig – Sektor Jan 8 '14 at 20:01
If you DiscretePlot your sum you will see that the limit seems to be 0. Proving that (by hand) is rather easy afterwards. – A.G. Jan 8 '14 at 23:42
@A.G. If you change the problem just slightly to Limit[Sum[(2*E*n)^w/(w^(n/4+w)), {w,2,n}],n->Infinity] it is much less obvious how to solve it by plotting. – marshall Jan 10 '14 at 11:39

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.