\sum_(n=1)^(\infty ) e^(-2n)sinn
Added by Jeremy H.
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This is an infinite series. We can use the Dirichlet test to check for convergence. Let $a_n = e^{-2n}$ and $b_n = \sin n$. Then $a_n$ is a monotonically decreasing sequence converging to 0, and the partial sums of $b_n$ are bounded. Therefore, the series Show more…
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