Question

In half range Fourier series expansion, we know the nature of the function in its full time period.

(a) True

(b) False

This question was posed to me in quiz.

My question is based upon Fourier Half Range Series topic in section Fourier Series of Engineering Mathematics

Answer 1

Right option is (b) False

The best I can explain: In half range Fourier series expansion, we know the nature of the function only in its half of the period. It can be either odd or even function in its full range. We assume it to be even function when we find half range cosine series and we assume it to be odd function when we find half range sine series.