Problem 1. (1 point)\ Let

F_(k)

be the

k

th Fourier approximation, that is the first

k

harmonics:\

F_(k)(t)=(a_(0))/(2)+\\\\sum_(n=1)^k (a_(n)cos(nt)+b_(n)sin(nt)).

\ Construct the first three Fourier approximations to the square wave function\

f(t)={(-5,-\\\\pi

\

F_(1)(t)=\ F_(2)(t)=\ F_(3)(t)=

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Problem 1. (1 point) Let Fk be the k th Fourier approximation, that is the first k harmonics: Fk(t)=2a0+n=1k(ancos(nt)+bnsin(nt)) Construct the first three Fourier approximations to the square wave function f(t)={54t