L'Hospital's Rule? (2)

Calculus Level 3

$\large L = \lim_{x\to0} \dfrac{(1+x)^{1/x} - e}{x}$

Find the value of $L$ .

Clarification: $e \approx 2.71828$ is the Euler's number.

e

None of these choices

-\dfrac{e}{2}

\dfrac{e}{2}

-e

Limit does not exist