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if (1 + (1/m))^m = e What is m

 Aug 26, 2016
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if (1 + (1/m))^m = e What is m

 

\(\displaystyle\lim_{m\rightarrow \infty}\;\; (1 + \frac{1}{m})^m = e \\ and\\ \displaystyle\lim_{m\rightarrow -\infty}\;\; (1 + \frac{1}{m})^m = e \\~\\ (1 + \frac{1}{m})^m \ne e\qquad \mbox{where }m\in R \\\)

 

 

Here is the graph

https://www.desmos.com/calculator/idlvav4n9o

 Aug 26, 2016

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