Answer to Question #251959 in Calculus for JaytheCreator

Question #251959

Expand each of the following functions in a Fourier sine series then a Fourier cosine series on the prescribed interval.

(i) 𝑓(π‘₯) = 𝑒^βˆ’π‘₯ ; 0 < π‘₯ < 1,


(ii) 𝑓(π‘₯) = { π‘₯ 0 < π‘₯ < 𝑙/2 𝑙 βˆ’ π‘₯ 𝑙/2 < π‘₯ < 𝑙 ; 0 < π‘₯ < 𝑙,


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