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 March 23rd, 2018, 04:54 AM #1 Member   Joined: Jan 2016 From: Blackpool Posts: 97 Thanks: 2 Poles question Find the poles of the $\frac{z}{z^4+1}$ For this question will the poles be the value of z for which z^4+1=0?
 March 23rd, 2018, 05:21 AM #2 Global Moderator   Joined: Dec 2006 Posts: 19,299 Thanks: 1688 You seem to have omitted a word, but yes.
March 23rd, 2018, 06:22 AM   #3
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Quote:
 Originally Posted by Jaket1 Find the poles of the $\frac{z}{z^4+1}$ For this question will the poles be the value of z for which z^4+1=0?
In this example the poles are exactly what you have described. However, it seems you have found the poles by examining where the denominator is zero which does not work in general. For example take
$f(z) = \frac{-\sin(\pi z^4)}{1+z^4}$
which does not have any poles.

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