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

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

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

asymptotes

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

Vertical : x = 0, x = 2, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{1}{x ^{2} ( x - 2 )} : x = 0, x = 2

Horizontal Asymptotes of

\frac{1}{x ^{2} ( x - 2 )} : y = 0

Slant Asymptotes of

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

None

Vertical : x = 0, x = 2, Horizontal : y = 0

y = sec (x)

f (x) = \frac{x ^{2} + 2 x - 3}{x ^{2} + 5 x + 6}

f (x) = \frac{( - 2 x ^{2} + 5 x - 1 )}{2 x - 1}

f (x) = \frac{x ( x + 4 )}{2 x ( x - 3 )}

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

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