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

The asymptotes of f(x)=(x^3)/(2x^2-1) is Vertical: x=-1/(sqrt(2)),x= 1/(sqrt(2)),Slant: y= 1/2 x

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

asymptotes

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

Vertical : x = - \frac{1}{2}, x = \frac{1}{2}, Slant : y = \frac{1}{2} x

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = - \frac{1}{2}, x = \frac{1}{2}, Slant : y = \frac{1}{2} x

y = \frac{3}{x + 3}

\frac{2 x - 8}{x ^{2} + 2 x - 24}

f (x) = lo g_{10} (x - 7)

\frac{4 x ^{3} + 1}{7 x - 1}

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

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