Problem with a taylor serie expansion

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Amaelle
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Homework Statement
Look at the image
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Tayolr development
Greetings
https://www.physicsforums.com/attachments/295843

I really don´t agree with the solution
https://www.physicsforums.com/attachments/295846

as I calculated fxy I got
fxy=xyexy
f(0,1)=0 so x(y-1) should not appear in the solution
am I wrong?

thank you!
 
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thank you I solved the problem it was my wrong calculation!
 

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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