What is the asymptotes of f(x)=(x^3-8)/(x^2-5x+6) ?

The asymptotes of f(x)=(x^3-8)/(x^2-5x+6) is Vertical: x=3,Slant: y=x+5

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asymptotes of f(x)=(x^3-8)/(x^2-5x+6)

asymptotes

f (x) = \frac{x ^{3} - 8}{x ^{2} - 5 x + 6}

Vertical : x = 3, Slant : y = x + 5

Solution steps

Vertical asymptotes of

\frac{x ^{3} - 8}{x ^{2} - 5 x + 6} : x = 3

Horizontal Asymptotes of

\frac{x ^{3} - 8}{x ^{2} - 5 x + 6} :

None

Slant Asymptotes of

\frac{x ^{3} - 8}{x ^{2} - 5 x + 6} : y = x + 5

Vertical : x = 3, Slant : y = x + 5

\frac{2}{π} arctan (x) - 3

f (x) = \frac{6 x + 14}{x ^{2} - 5 x - 14}

f (x) = \frac{x - 7}{2 x ^{2} - 16 x - 40}

f (x) = \frac{6}{x}

f (x) = \frac{x ^{2} - 16}{3 x - 12}

What is the asymptotes of f(x)=(x^3-8)/(x^2-5x+6) ?
The asymptotes of f(x)=(x^3-8)/(x^2-5x+6) is Vertical: x=3,Slant: y=x+5