Fourier series

For the sawtooth wave f(t)

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  1. Expand f(t) into the Fourier series both with real and complex coefficients (i.e. in the "sin/cos" and "exp" forms)
  2. Make sure that both series are equal.
  3. Plot the function f(t) and its approximation using the first N members of the infinite Fouries series you found. Check (qualitatively) how good the approximation is for different N's. (use any mathematical program for this purpose, e.g. Matlab).