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

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

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

asymptotes

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

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

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

f (x) = \frac{4 x + 8}{x ^{2} + 2 x}

\frac{2 x ^{2} + 10 x + 12}{x ^{2} + 3 x + 2}

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

f (x) = \frac{x}{x ^{2} - 49}

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

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