What is the asymptotes of f(x)=arctan((x^2)/(x+5)) ?

The asymptotes of f(x)=arctan((x^2)/(x+5)) is Horizontal: y= pi/2 ,y=-pi/2

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asymptotes of f(x)=arctan((x^2)/(x+5))

asymptotes

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

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

Solution steps

Vertical asymptotes of

arctan (\frac{x ^{2}}{x + 5}) :

None

Horizontal Asymptotes of

arctan (\frac{x ^{2}}{x + 5}) : y = \frac{π}{2}, y = - \frac{π}{2}

Slant Asymptotes of

arctan (\frac{x ^{2}}{x + 5}) :

None

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

f (x) = 4 x + 1

f (x) = x^{3} - 4 x

x - \frac{6}{\frac{8}{x}}

What is the asymptotes of f(x)=arctan((x^2)/(x+5)) ?
The asymptotes of f(x)=arctan((x^2)/(x+5)) is Horizontal: y= pi/2 ,y=-pi/2