2. Obtain a half range cosine series for kx, for 0 < x <5 f(x) = (k(l – x), for 글드 xS 1 1 1 Deduce the sum of the series z+ z++ 32 52 21

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A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

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Q: 5. Use geometric series to show that: 1 (a) Σo(-1) k = 1 if−1 < x < 1 1 (b) Σ(x-3) = ¹ if 2 < x < 4.…

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Q: ind the half range CoSine Series for the function(x-1) tn the Intervat Henfe that くX<t ++ 32

A: Since you have posted multiple questions but according to guidelines, we will first question for…