Recent content by Sowmitra Das
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Proving the Series Sum of a Trigonometric Function with Exponentials
Preliminaries... I'm going to use 2 identities. Identity 1: $$\displaystyle \sum_{n\,\textrm{odd}}\frac{x^n}{n}=\frac 1 2 \ln \left(\frac {1+x} {1-x} \right)$$ Proof: From the Maclaurin expansion of ##\ln (1+x)## and ##\ln(1-x)##, we get, $$\ln...- Sowmitra Das
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- Forum: Calculus and Beyond Homework Help