Finding the interval of convergence

NihalRi
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Homework Statement


The question was to find the interval of convergence for a series.

Homework Equations


an+1/an

The Attempt at a Solution


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NihalRi said:

Homework Statement


The question was to find the interval of convergence for a series.

Homework Equations


an+1/an

The Attempt at a Solution


View attachment 108091
Do you have a question?
 

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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