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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