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

The asymptotes of f(x)=(x^3)/((x-2)^2) is Vertical: x=2,Slant: y=x+4

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

asymptotes

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

Vertical : x = 2, Slant : y = x + 4

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{x ^{3}}{( x - 2 ) ^{2}} : y = x + 4

Vertical : x = 2, Slant : y = x + 4

f (x) = x^{2} + y^{2} x^{2} - 4 y^{2} = 0

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

\frac{x ^{2} - x - 20}{x ^{2} - 4}

y = 1 x + 3, (- 7, 0)

What is the asymptotes of f(x)=(x^3)/((x-2)^2) ?
The asymptotes of f(x)=(x^3)/((x-2)^2) is Vertical: x=2,Slant: y=x+4