What is the asymptotes of (x^2+1)/(x^3-4x^2+8) ?

The asymptotes of (x^2+1)/(x^3-4x^2+8) is Vertical: x=1-sqrt(5),x=2,x=1+sqrt(5),Horizontal: y=0

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asymptotes of (x^2+1)/(x^3-4x^2+8)

asymptotes

\frac{x ^{2} + 1}{x ^{3} - 4 x ^{2} + 8}

Vertical : x = 1 - 5, x = 2, x = 1 + 5, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 1}{x ^{3} - 4 x ^{2} + 8} : x = 1 - 5, x = 2, x = 1 + 5

Horizontal Asymptotes of

\frac{x ^{2} + 1}{x ^{3} - 4 x ^{2} + 8} : y = 0

Slant Asymptotes of

\frac{x ^{2} + 1}{x ^{3} - 4 x ^{2} + 8} :

None

Vertical : x = 1 - 5, x = 2, x = 1 + 5, Horizontal : y = 0

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

\frac{2 x ^{3} - x}{x - 5}

\frac{7 x ^{4} + 3 x ^{2} + 1}{3 x ^{4} - 5 x - 2}

e^{3 x + 1}

f (x) = \frac{6 x ^{2} + 2 x + 1}{2 x - 1}

What is the asymptotes of (x^2+1)/(x^3-4x^2+8) ?
The asymptotes of (x^2+1)/(x^3-4x^2+8) is Vertical: x=1-sqrt(5),x=2,x=1+sqrt(5),Horizontal: y=0