Taylor series for sinh
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Revision as of 04:52, 7 May 2016 by Tom (talk | contribs) (Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> The following Taylor series holds for all $z \in \mathbb{C}$: $$\...")
Theorem: The following Taylor series holds for all $z \in \mathbb{C}$: $$\sinh(z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{z^{2k+1}}{(2k+1)!},$$ where $\sinh$ is the hyperbolic sine.
Proof: █