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

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

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

asymptotes

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

Horizontal : y = 1

Solution steps

Vertical asymptotes of

\frac{x ^{2}}{x ^{2} + 1} :

None

Horizontal Asymptotes of

\frac{x ^{2}}{x ^{2} + 1} : y = 1

Slant Asymptotes of

\frac{x ^{2}}{x ^{2} + 1} :

None

Horizontal : y = 1

\frac{x + 8}{x ^{2} + 3 x - 54}

f (x) = arctan (e^{9 x})

\frac{3 x ^{2} - 9 x + 6}{5 x - 10}

f (x) = \frac{x ^{2} - 17 x + 70}{2 x - 20}

f (x) = \frac{x ^{2} - 16}{x}

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