we'll I'm not quite sure it could be anything other then 0
e^-n is the same as 1/(e^n) as n goes to infinity, it goes to zero.
using the ratio test, the summation converges absolutely, so it's finite (i think, this is as long as i can treat n as a constant) so since it's a finite number, multiplied by 0, it should be zero... if the summation does not converge, then the summation equals infinity. with the first e^-n going to zero, i don't see any possibility of it going to 1/2.
or at least that's what my 2 semesters of calculus say (well actually 5, 2 that i passed)
I'll forward it to my math professor, he likes challenges.
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Last edited by Dilbert1234567; 04-13-2007 at 09:20 PM..
Reason: Automerged Doublepost
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