A calculus problem by Hummus a

Calculus Level 4

\[ \large \lim_{x\to \infty} \left [ \dfrac{\left(1+ \frac1x \right)^x}e\right ]^x \]

If the limit above can be expressed as \(e^{-A/B} \), where \(A\) and \(B\) are coprime positive integers, find \(A+B\).

×

Problem Loading...

Note Loading...

Set Loading...