Simple Fourier series problem

  • Thread starter springo
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  • #1
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Homework Statement


Find the Fourier series for ex for x in (-1,1).
Find the Parseval identity.

Homework Equations



The Attempt at a Solution


[tex]c_{n}=\frac{1}{2}\int_{-1}^{1}e^{x}e^{-i n x}dx[/tex]
Where cn are the coefficients of the Fourier series.

I tried plotting
[tex]\sum_{k=-\infty}^{\infty}c_{n}e^{i n x}[/tex]
together with ex and it doesn't seem to be correct...

Thank you for your help!
 
Last edited:

Answers and Replies

  • #2
LCKurtz
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For starters, your formula for cn is wrong. For period P = 2p:

[tex]c_n = \frac 1 {2p}\int_{-p}^p f(x) e^{\frac {i n \pi}{p}}dx[/tex]

In your problem p = 1.
 

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