- #1

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## Homework Statement

determine the Fourier Series for f(x)=cos

^{3}x

## Homework Equations

f(x)=a

_{o}/2+(sum) a

_{n}cos(nx)+ (sum) b

_{n}cos(nx)

a

_{o}= (integral) f(x)dx (from -[tex]\pi[/tex] to[tex]\pi[/tex])

a

_{n}= (integral) f(x)cos(nx)dx (from -[tex]\pi[/tex] to[tex]\pi[/tex])

b

_{n}= (integral) f(x)sin(nx)dx (from -[tex]\pi[/tex] to[tex]\pi[/tex])

## The Attempt at a Solution

i worked out that a

_{o}and a

_{n}are both zero, which is fine. however when i go to work out b

_{n}i get answers that are divided by (n-1) and (n-3) which means that when i try and find b

_{1}and b

_{3}I'm dividing by zero. i don't know what to do now! can this function be made into a Fourier Series?