A Definite integral where solution. involves infinity - infinity

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What work have you done on this? What makes you think that it is of the indeterminate form in the thread title?

When you start in on this, if you haven't done so already, look at the integral with limits of integration 0 and b, do the integration, and then take the limit as b approaches infinity.

In doing the integral, I would go at this using partial fractions.
 
See my reply in the other thread.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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