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How would one do the following

by praharmitra
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praharmitra
#1
Nov14-12, 10:23 PM
P: 311
How would one do the following sum?

[tex]

\sum\limits_{n=1}^\infty n e^{- \epsilon~n^2}

[/tex]
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SteamKing
#2
Nov14-12, 11:41 PM
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PF Gold
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First of all, find out what epsilon is.
Simon Bridge
#3
Nov14-12, 11:53 PM
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Simon Bridge's Avatar
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How would one do the following sum?
...carefully. What have you tried?

note $$\frac{d}{dn}e^{-\epsilon n^2}=-2\epsilon ne^{-\epsilon n^2}$$ ... may or may not be helpful.


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