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

The asymptotes of f(x)= 1/((x-2)^3) is Vertical: x=2,Horizontal: y=0

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

asymptotes

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

Vertical : x = 2, Horizontal : y = 0

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{1}{( x - 2 ) ^{3}} : y = 0

Slant Asymptotes of

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

None

Vertical : x = 2, Horizontal : y = 0

f (x) = \frac{x + 8}{6 x - 15}

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

f (x) = \frac{- 4 x + 17}{3 x}

f (x) = \frac{x ^{2} + 9 x + 8}{15 x + 9}

f (x) = \frac{x ^{2} + 4 x - 60}{3 x ^{2} - 6 x}

What is the asymptotes of f(x)= 1/((x-2)^3) ?
The asymptotes of f(x)= 1/((x-2)^3) is Vertical: x=2,Horizontal: y=0