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

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

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

asymptotes

h (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

y = \frac{x ^{2}}{x - 5}

f (x) = \frac{x ^{2} - 12 x + 25}{x - 2}

f (x) = \frac{2 x - 21}{8 x + 52}

f (x) = arctan (e^{4 x})

f (x) = 5 x - 24 x - 15 = - 10

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