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

The asymptotes of f(x)=(2x^2+1)/(x^3+1) is Vertical: x=-1,Horizontal: y=0

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

asymptotes

f (x) = \frac{2 x ^{2} + 1}{x ^{3} + 1}

Vertical : x = - 1, Horizontal : y = 0

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{2 x ^{2} + 1}{x ^{3} + 1} : y = 0

Slant Asymptotes of

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

None

Vertical : x = - 1, Horizontal : y = 0

f (x) = \frac{x ^{2} - x - 9}{x - 3}

f (x) = \frac{x ^{2} + 64}{x ^{2} - 64}

f (x) = \frac{4 x ^{3} + 3 x}{5 - 3 x ^{3}}

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

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

What is the asymptotes of f(x)=(2x^2+1)/(x^3+1) ?
The asymptotes of f(x)=(2x^2+1)/(x^3+1) is Vertical: x=-1,Horizontal: y=0