- #1

TwilightTulip

- 24

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## Homework Statement

WTS divergence of:

[tex]\sum_{-\infty}^{\infty} \frac{1}{z-n}[/tex]

## Homework Equations

Basic algebraic manipulation, standard tests of non-convergence?

## The Attempt at a Solution

I have been playing with algebra, perhaps this equivilant (I hope equivilant, anyway) series may be of use:

[tex]\frac{1}{z}+\sum_{1}^{\infty} \frac{1}{z-n}+\frac{1}{z+n} = \frac{1}{z}+\sum_{1}^{\infty} \frac{2z}{z^2-n^2}[/tex]

Is this right? If so, what can I do from here? If not, where am I going wrong?

Thanks!