L'Hospital's Rule? (2)

Calculus Level 3

L=limx0(1+x)1/xex \large L = \lim_{x\to0} \dfrac{(1+x)^{1/x} - e}{x}

Find the value of LL.

Clarification: e2.71828e \approx 2.71828 is the Euler's number.

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