Obtain the half-range cosine series for 𝑓(𝑥) = 𝑥 𝑠𝑖𝑛𝑥 in (0, 𝜋) and hence show that

Obtain the half-range cosine series for 𝑓(𝑥) = 𝑥 𝑠𝑖𝑛𝑥 in (0, 𝜋) and hence show that $\frac{\Pi-2}{4}=\frac{1}{1.3}-\frac{1}{3.5}+\frac{1}{5.7}$ − ⋯ ∞

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