# I don't think limits - U. Bolt

Calculus Level 4

$\large \displaystyle \lim_{x \to 0} \frac{e-(1+x)^{\frac{1}{x}}}{\tan x}$

If the limit above is equal to $$A \times e^B$$, where $$A$$ and $$B$$ are rational numbers, find the value of $$A+B$$.

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