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

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

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

asymptotes

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

Vertical : x = 1, Slant : y = x + 2

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = 1, Slant : y = x + 2

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

\frac{x + 3}{x ^{2} - 4}

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

f (x) = \frac{- 3 x + 5}{- x - 1}

y = \frac{x ^{2} - x - 2}{x ^{2} + x - 2}

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