Question: 3. Let f(x) = x2. Consider four different representations of f (x): (1) f1(x) = Ebn sin(nx), , r E (0, T); (2) f2(x) =

3. Let f(x) = x2. Consider four different
3. Let f(x) = x2. Consider four different representations of f (x): (1) f1(x) = Ebn sin(nx), , r E (0, T); (2) f2(x) = _ an cos(nae), x E (0, T); (3) f3(x) = _ an cos(nx) + Ebn sin(nx), , x E (-T, T); (4) fA(x) = Ebn sin((n + ?) x), x E (0, T). Without computing the coefficients, draw how fi(x), i = 1..4 looks like when extended on the whole real line

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