- #1

doive

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## Homework Statement

I have conflicting notes and even textbooks about where i should and shouldn't have factors of 2 when doing fourier series. I just want to check once and for all i'm doing it right and not introducing erroneous factors of 2 or omitting any

## Homework Equations

[tex]

\tilde{f}(x)= \frac{a_0}{2} + \sum^{\inf}_{n=1} [a_n cos(\frac{n \pi x}{L}) + b_n sin(\frac{n\pi x}{L})]

[/tex]

[tex]

a_n = \frac{1}{L} \int^{L}_{-L} cos \frac{n\pi x}{L} f(x) dx

[/tex]

[tex]

b_n = \frac{1}{L} \int^{L}_{-L} sin(\frac{n\pi x}{L}) f(x) dx

[/tex]

[tex]

a_0 = \frac{1}{2L} \int^{L}_{-L} f(x) dx

[/tex]

where the interval is [-L,L] and the period is 2L

## The Attempt at a Solution

Is the above formulation correct (i'm particularly unsure about the 1/2L associated with a

_{0})

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