What is the asymptotes of f(x)=arctan(e^{-3x}-1) ?

The asymptotes of f(x)=arctan(e^{-3x}-1) is Horizontal: y=-pi/4 ,y= pi/2

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asymptotes of f(x)=arctan(e^{-3x}-1)

asymptotes

f (x) = arctan (e^{- 3 x} - 1)

Horizontal : y = - \frac{π}{4}, y = \frac{π}{2}

Solution steps

Vertical asymptotes of

arctan (e^{- 3 x} - 1) :

None

Horizontal Asymptotes of

arctan (e^{- 3 x} - 1) : y = - \frac{π}{4}, y = \frac{π}{2}

Slant Asymptotes of

arctan (e^{- 3 x} - 1) :

None

Horizontal : y = - \frac{π}{4}, y = \frac{π}{2}

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

y = 2 tan (2 x)

f (x) = 2 tan (x)

f (x) = \frac{x ^{2} - 9}{3 x + 1}

f (x) = cos (x) - sin (x)

What is the asymptotes of f(x)=arctan(e^{-3x}-1) ?
The asymptotes of f(x)=arctan(e^{-3x}-1) is Horizontal: y=-pi/4 ,y= pi/2