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Fourier Transform

Let $ x(t)=sin(\pi t) + cos(2\pi t) $

Remember that the formula for CT Fourier Series are:

$ x(t)=\sum_{k=-\infty}^{\infty}a_ke^{jk\omega_0t} $

$ a_k=\frac{1}{T}\int_0^Tx(t)e^{-jk\omega_0t}dt $.

Solution

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