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Question Number 33310 by abdo imad last updated on 14/Apr/18

l e t c o n s i d e r t h e 2 π p e r i o d i c ? f u n c t i o n f (x) = e^{x}

1) d e v e l o p p f a t f o u r i e r s e r i e

2) f i n d t h e v a l u e o f \sum_{n = 0}^{\infty} \frac{{(- 1)}^{n}}{n^{2} + 1}