What is the asymptotes of f(x)=arctan(e^{7x}-1) ?

The asymptotes of f(x)=arctan(e^{7x}-1) is Horizontal: y= pi/2 ,y=-pi/4

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asymptotes of f(x)=arctan(e^{7x}-1)

asymptotes

f (x) = arctan (e^{7 x} - 1)

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

Solution steps

Vertical asymptotes of

arctan (e^{7 x} - 1) :

None

Horizontal Asymptotes of

arctan (e^{7 x} - 1) : y = \frac{π}{2}, y = - \frac{π}{4}

Slant Asymptotes of

arctan (e^{7 x} - 1) :

None

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

f (x) = \frac{cos ( x )}{1 + sin ( x )}

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

f (x) = \frac{8}{x - 4}

f (x) = \frac{( 3 x + 6 )}{( 10 x - 20 )}

y = 2^{x - 5}

What is the asymptotes of f(x)=arctan(e^{7x}-1) ?
The asymptotes of f(x)=arctan(e^{7x}-1) is Horizontal: y= pi/2 ,y=-pi/4