Re: show that sum(1/(1+exp(n*x)), n=0..infinity) is uniform convergent



On 11.06.2005 22:25, Scoobidoo wrote:
> how do I show that sum(1/(1+exp(n*x)),n=0..infinity) is uniform convergent?

If you specify the common domain of the sequence of functions, you could
use the inequality 1+z >= z for z>0 (z=exp(nx)) and some adapted
geometric sequence to show the assertion.

J.
.


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