There are some problems my lecturer gave me which I can't solve ,or I am very unsure about my approach :(adsbygoogle = window.adsbygoogle || []).push({});

1. Study the nature of this series : [tex] \sum_{n=1}^\infty \frac{a^{n}}{n^{2}} [/tex]

2. Expand as a series of powers of x the function [tex] f(x)= ln{(1+x)} + \frac {1}{1-x} + e^{2x} [/tex] and determine the convergence radius of the resulting one.

I know that the last one is done using the Taylor but I ain't sure about my approach, some hints pls.

Thank you for your time.

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# Some PreExam problems

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