Triangle Wave Fourier Series

Calculus Level 2

Find the Fourier series of the triangle wave which is defined by

f(x)=2x0.5+1f(x) = -2|x-0.5|+1

for 0.5x1.5-0.5\leq x \leq 1.5 and is periodic outside this region.

Hint: Try plotting the given function first.

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