Hello,(adsbygoogle = window.adsbygoogle || []).push({});

I am trying to understand how to get the residue as given by wolfram :

http://www.wolframalpha.com/input/?i=residue+of+e^{Sqrt[x^2+++1]}/(x^2+++1)^2

The issue I am facing is - since it is a second order pole, when I try to different e^{\sqrt{x^+1}} I get a \sqrt{x^+1} in the denominator. And hence I cannot substitute x = i to get the residue. How do I deal with a pole which comes about on differentiating?

Thanks!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# 2nd order pole while computing residue in a complex integral

Tags:

**Physics Forums | Science Articles, Homework Help, Discussion**