What is the asymptotes of f(x)=arctan(e^{-2x}) ?

The asymptotes of f(x)=arctan(e^{-2x}) is Horizontal: y=0,y= pi/2

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asymptotes of f(x)=arctan(e^{-2x})

asymptotes

f (x) = arctan (e^{- 2 x})

Horizontal : y = 0, y = \frac{π}{2}

Solution steps

Vertical asymptotes of

arctan (e^{- 2 x}) :

None

Horizontal Asymptotes of

arctan (e^{- 2 x}) : y = 0, y = \frac{π}{2}

Slant Asymptotes of

arctan (e^{- 2 x}) :

None

Horizontal : y = 0, y = \frac{π}{2}

f (x) = 15 x^{\frac{2}{3}} - 10 x

f (x) = \frac{x ^{2} + 2 x - 3}{x ^{2} + x - 2}

4^{x - 2}

f (x) = \frac{x ^{2} - 2 x + 2}{3 x - \frac{1}{2}}

f (x) = \frac{6 x}{x - 2}

What is the asymptotes of f(x)=arctan(e^{-2x}) ?
The asymptotes of f(x)=arctan(e^{-2x}) is Horizontal: y=0,y= pi/2