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

The limit as x approaches pi of e^{tan(x)} is 1

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

x \to π lim (e^{t a n (x)})

1

Solution steps

x \to π lim (e^{t a n (x)})

Plug in the value

x = π

= e^{t a n (π)}

Simplify

e^{t a n (π)} : 1

= 1

x \to - 8 lim (\frac{3 - 4 x}{x + 8})

x \to - 2 lim (\frac{2 - x}{x + 2})

x \to 2 lim (8 + 12 x - 3 x)

x \to - \infty lim (π^{x})

x \to 0 lim (x^{3} e^{- 3 x})

What is the limit as x approaches pi of e^{tan(x)} ?
The limit as x approaches pi of e^{tan(x)} is 1