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

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

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

asymptotes

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

Vertical : x = - \frac{1}{2}, Horizontal : y = 0

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = - \frac{1}{2}, Horizontal : y = 0

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

\frac{6 - x}{x - 4}

y = - x - 7

(- 3, 3), (4, 4)

- 8 csc (\frac{π}{3} x)

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