I don't think limits - U. Bolt

Calculus Level 4

limx0e(1+x)1xtanx\large \displaystyle \lim_{x \to 0} \frac{e-(1+x)^{\frac{1}{x}}}{\tan x}

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

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