Series question in my Calc2 class

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Homework Statement


calc222222.PNG


Homework Equations

The Attempt at a Solution


Not sure what I'm doing wrong here that looks like what the series is showing
 

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ok sorry nevermind i put 4 instead of pi/4 by accident
 
i am not understanding this series stuff very well the topics in calculus 2 go by to fast to many topics too little time you cannot even have time to learn them its just go go go
 

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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