Fourier series is one of the topics that used in function approximation,
especially when it is recommended using series expansion instead of using the
function it-self. But one may ask himself just simple question, is the Fourier series
can be good alternative than the original function?. The answer is actually no and
no one can say we can get accurate approximation for the function but we can say
Fourier series is quite approximation for the function within specified period under
prescribed conditions related to the function itself.
Keywords: Complex Fourier Expansion. Fourier series, Half-Range
Expansion, Odd and Even Function.
