What is the asymptotes of f(x)=(2x^3-4x+1)/(x^3-1) ?

The asymptotes of f(x)=(2x^3-4x+1)/(x^3-1) is Vertical: x=1,Horizontal: y=2

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asymptotes of f(x)=(2x^3-4x+1)/(x^3-1)

asymptotes

f (x) = \frac{2 x ^{3} - 4 x + 1}{x ^{3} - 1}

Vertical : x = 1, Horizontal : y = 2

Solution steps

Vertical asymptotes of

\frac{2 x ^{3} - 4 x + 1}{x ^{3} - 1} : x = 1

Horizontal Asymptotes of

\frac{2 x ^{3} - 4 x + 1}{x ^{3} - 1} : y = 2

Slant Asymptotes of

\frac{2 x ^{3} - 4 x + 1}{x ^{3} - 1} :

None

Vertical : x = 1, Horizontal : y = 2

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

f (x) = 2 x - 4 x^{2} - x + 1

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

\frac{8 x ^{2}}{7 x ^{3} - x ^{2}}

\frac{x ^{2} - 2 x - 15}{x + 3}

What is the asymptotes of f(x)=(2x^3-4x+1)/(x^3-1) ?
The asymptotes of f(x)=(2x^3-4x+1)/(x^3-1) is Vertical: x=1,Horizontal: y=2