What is the asymptotes of f(x)=arctan(e^{4x}-1) ?

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

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asymptotes of f(x)=arctan(e^{4x}-1)

asymptotes

f (x) = arctan (e^{4 x} - 1)

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

Solution steps

Vertical asymptotes of

arctan (e^{4 x} - 1) :

None

Horizontal Asymptotes of

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

Slant Asymptotes of

arctan (e^{4 x} - 1) :

None

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

f (x) = \frac{( x ^{2} + 4 x )}{2 x ^{2} - 7 x}

x^{2} + 3 x + 4

f (x) = \frac{x ^{2} + 5 x}{x ^{2} + 4 x + 4}

\frac{2 x}{x + 1}

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

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