What is the asymptotes of (x^3+2x)/(x^2+1) ?

The asymptotes of (x^3+2x)/(x^2+1) is Slant: y=x

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asymptotes of (x^3+2x)/(x^2+1)

asymptotes

\frac{x ^{3} + 2 x}{x ^{2} + 1}

Slant : y = x

Solution steps

Vertical asymptotes of

\frac{x ^{3} + 2 x}{x ^{2} + 1} :

None

Horizontal Asymptotes of

\frac{x ^{3} + 2 x}{x ^{2} + 1} :

None

Slant Asymptotes of

\frac{x ^{3} + 2 x}{x ^{2} + 1} : y = x

Slant : y = x

y = \frac{x ^{2}}{( x + 6 ) ( x - 4 )}

f (x) = \frac{1}{( x + 6 ) ^{2}}

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

f (x) = x \cdot ln (1 - \frac{2}{x})

+ x^{14}

What is the asymptotes of (x^3+2x)/(x^2+1) ?
The asymptotes of (x^3+2x)/(x^2+1) is Slant: y=x