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

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

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

asymptotes

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

Vertical : x = 0, Slant : y = x - 2

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = 0, Slant : y = x - 2

y = \frac{2 x - 1}{x ^{2} - 5 x + 6}

f (x) = \frac{4}{x ^{2} + 9}

\frac{4 x - 60}{( x - 103 ) ^{9}}

f (x) = - \frac{1}{e ^{\frac{1}{x}}}

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

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