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

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

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

asymptotes

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

Vertical : x = 5, Slant : y = x + 6

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = 5, Slant : y = x + 6

(- 1, 3), (3, - 5)

2 cos (\frac{2 π}{4} (x + 2)) - 1

(- 7 - 15) (0 - 14)

(- 2, - 5), (6, 1)

3 x + 2 y = 5

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