Where can I find a bank of convergence and Taylor series problems and solutions?

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does anyone know where i can find a decent bank of convergence and taylor series problems and solutions? my calc book is a bit lacking, and i don't have the solutions manual.
 
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Apostol, Calculus, has many good quality exercises and answers (but not worked solutions) for most of them. Spivak, Calculus, has some routine exercises and many more theoretical problems; a separate solutions manual is readily available.
 

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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