What is the asymptotes of f(x)=(x^2-4)/(x^3-5x^2+6x) ?

The asymptotes of f(x)=(x^2-4)/(x^3-5x^2+6x) is Vertical: x=0,x=3,Horizontal: y=0

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asymptotes of f(x)=(x^2-4)/(x^3-5x^2+6x)

asymptotes

f (x) = \frac{x ^{2} - 4}{x ^{3} - 5 x ^{2} + 6 x}

Vertical : x = 0, x = 3, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 4}{x ^{3} - 5 x ^{2} + 6 x} : x = 0, x = 3

Horizontal Asymptotes of

\frac{x ^{2} - 4}{x ^{3} - 5 x ^{2} + 6 x} : y = 0

Slant Asymptotes of

\frac{x ^{2} - 4}{x ^{3} - 5 x ^{2} + 6 x} :

None

Vertical : x = 0, x = 3, Horizontal : y = 0

f (x) = e^{x - 5}

y = tan (x - \frac{π}{4})

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

2^{x - 3} + 1

\frac{x ^{2} + x - 20}{x - 5}

What is the asymptotes of f(x)=(x^2-4)/(x^3-5x^2+6x) ?
The asymptotes of f(x)=(x^2-4)/(x^3-5x^2+6x) is Vertical: x=0,x=3,Horizontal: y=0