A function f(t) is defined for 0 t 1/2T by f ( t ) =
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A function f(t) is defined for 0 ≤ t ≤ 1/2T by
f(t)={t(0⩽t⩽14T)12T−t(14T⩽t⩽12T)Sketch odd and even functions that have a period T and are equal to f (t) for 0 ≤ t ≤ 1/2T.
(a) Find the half-range Fourier sine series of f(t).
(b) To what value will the series converge for t = − 1/4T?
(c) What is the sum of the following series?
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