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

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

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

asymptotes

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

Horizontal : y = \frac{2}{3}

Solution steps

Vertical asymptotes of

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

None

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Horizontal : y = \frac{2}{3}

f (x) = 2 x^{3} + 39 x^{2} + 216 x + 11

\frac{x ^{2} + x + 1}{x ^{2}}

f (x) = \frac{x + 7}{3 x + 6}

f (x) = \frac{( 3 x - 1 )}{( x ^{2} ( x - 3 ) )}

f (x) = \frac{x + 3}{x ( x - 9 )}

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