What is the asymptotes of f(x)=(10x^3)/(5x^2+1) ?

The asymptotes of f(x)=(10x^3)/(5x^2+1) is Slant: y=2x

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asymptotes of f(x)=(10x^3)/(5x^2+1)

asymptotes

f (x) = \frac{10 x ^{3}}{5 x ^{2} + 1}

Slant : y = 2 x

Solution steps

Vertical asymptotes of

\frac{10 x ^{3}}{5 x ^{2} + 1} :

None

Horizontal Asymptotes of

\frac{10 x ^{3}}{5 x ^{2} + 1} :

None

Slant Asymptotes of

\frac{10 x ^{3}}{5 x ^{2} + 1} : y = 2 x

Slant : y = 2 x

5 - x^{3}

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

f (x) = sin (9 x)

y = \frac{2 x ^{2} + x + 3}{3 x ^{2} + 2 x - 1}

y = ln (x + 1)

What is the asymptotes of f(x)=(10x^3)/(5x^2+1) ?
The asymptotes of f(x)=(10x^3)/(5x^2+1) is Slant: y=2x