Mathematics, 19.12.2021 14:00, hardwick744

Given the curve $\displaystyle \large{y=e^{-x}\sin x \ \ (x\geq 0)$ let the area enclosed by the curve and the x-axis (above the x-axis) be S0, S1, S2, ... , Sn, ... in order from y-axis. Find $\displaystyle \large{ \lim_{n \to \infty} \sum_{k=0}^{n} S_k}$

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Given the curve let the area enclosed by the curve and the x-axis (above the x-axis) be S0, S1, S2,...