申論題

7. Definition: The Fourier series expansion of a function f(t) is given by 
f(t) = a0 + =1[a_ncos(nw₀t) + b_nsin(nw₀t)], w₀ =.       (1)
Function f(t) is given by f(t) = and f(t) = f(t + 2π). Expand f(t) by Fourier series.

(d) (5%) Can one obtain identical Fourier series of any function g(t) by using 2T and T in Equation (1)? Explain your reasons within 30 words.