Difference between revisions of "E is limit of (1+1/n)^n"
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(Created page with "==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...") |
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| − | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=e|next=}: 4.1.17 | + | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=e|next=Relationship between the logarithm with base b with the logarithm}}: 4.1.17 |
Revision as of 06:51, 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
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 4.1.17
