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

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 4.1.17