# Power Limit!

Calculus Level 5

$\large{L = \lim_{n \to \infty} \left( \dfrac{2n(e-e_n)}{e} \right)^{-n} \quad; \quad e_n = \left( 1 + \dfrac{1}{n} \right)^n}$

If $$L$$ can be expressed as $$\large{e^{A/B}}$$ for positive coprime integers $$A,B$$, submit the value of $$A+B$$ as your answer.

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