What is the limit as x approaches pi/2-of e^{tan(x)} ?

The limit as x approaches pi/2-of e^{tan(x)} is infinity

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limit as x approaches pi/2-of e^{tan(x)}

x \to \frac{π}{2} - lim (e^{t a n (x)})

\infty

Solution steps

x \to \frac{π}{2} - lim (e^{t a n (x)})

Apply the Limit Chain Rule:

\infty

= \infty

x \to x lim (f (x))

x \to 0 lim (4 x - x^{2})

x \to - 2 lim (\frac{4 x - 3}{2 - x})

x \to - \infty lim (x - 0)

x \to - 2 lim (x^{\frac{2}{3}})

What is the limit as x approaches pi/2-of e^{tan(x)} ?
The limit as x approaches pi/2-of e^{tan(x)} is infinity