Difference between revisions of "E is limit of (1+1/n)^n"
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Revision as of 06:50, 4 June 2016
Theorem
The following formula holds: $$e = \displaystyle\lim_{n \rightarrow \infty} \left( 1 + \dfrac{1}{n} \right)^n,$$ where $e$ denotes e and $\displaystyle\lim_{n \rightarrow \infty}$ denotes a limit.
Proof
References
- {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=e|next=}: 4.1.17
