What is the asymptotes of (4x^2+1)/(x^2+x+16) ?

The asymptotes of (4x^2+1)/(x^2+x+16) is Horizontal: y=4

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asymptotes of (4x^2+1)/(x^2+x+16)

asymptotes

\frac{4 x ^{2} + 1}{x ^{2} + x + 16}

Horizontal : y = 4

Solution steps

Vertical asymptotes of

\frac{4 x ^{2} + 1}{x ^{2} + x + 16} :

None

Horizontal Asymptotes of

\frac{4 x ^{2} + 1}{x ^{2} + x + 16} : y = 4

Slant Asymptotes of

\frac{4 x ^{2} + 1}{x ^{2} + x + 16} :

None

Horizontal : y = 4

f (x) = ln (x) + ln (3 - x)

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

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

(- 3, - 11), (8, - 42)

(- 6.3) (10.3)

What is the asymptotes of (4x^2+1)/(x^2+x+16) ?
The asymptotes of (4x^2+1)/(x^2+x+16) is Horizontal: y=4