A calculus problem by Akeel Howell

Calculus Level 3

lim x ( 3 π 2 ) + e tan ( x ) = ? \Large \lim_{x\rightarrow{\left(\frac{3\pi}{2}\right)}^+}e^{\tan(x)} = \ ? .


The answer is 0.

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1 solution

Chew-Seong Cheong
Oct 21, 2016

lim x 3 π 2 + e tan x = e tan 3 π 2 + = e = 0 \Large \begin{aligned} \lim_{x \to \frac {3\pi}2^+} e^{\tan x} & = e^{\tan \frac {3\pi}2^+} = e^{-\infty} = \boxed{0} \end{aligned}

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