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Find the Fourier series of the triangle wave which is defined by
f(x)=−2∣x−0.5∣+1f(x) = -2|x-0.5|+1f(x)=−2∣x−0.5∣+1
for −0.5≤x≤1.5-0.5\leq x \leq 1.5−0.5≤x≤1.5 and is periodic outside this region.
Hint: Try plotting the given function first.
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