E is limit of (1+1/n)^n

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.

References

• {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=e|next=}: 4.1.17