What is the asymptotes of f(x)=arctan(((x^2))/(x+1)) ?

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

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asymptotes of f(x)=arctan(((x^2))/(x+1))

asymptotes

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

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

Solution steps

Vertical asymptotes of

arctan (\frac{x ^{2}}{x + 1}) :

None

Horizontal Asymptotes of

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

Slant Asymptotes of

arctan (\frac{x ^{2}}{x + 1}) :

None

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

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

f (x) = 2 sin (3 x - π)

2 x + 8

\frac{- 2 x ^{2} + 5 x - 5}{x ^{2} + 1}

y = \frac{1}{x ^{2}} - \frac{1}{x}

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