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

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

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asymptotes of f(x)=2+(x^2)/(x^4+1)

asymptotes

f (x) = 2 + \frac{x ^{2}}{x ^{4} + 1}

Horizontal : y = 2

Solution steps

Vertical asymptotes of

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

None

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Horizontal : y = 2

2 x^{3} + 6 x^{2} + 3

f (x) = 2 - 9 x^{3}

\frac{2 x}{2 x - 4}

f (x) = 5 x^{2} + 6 x - 6

2 x + y = 3, (4, 1)

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