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

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

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

asymptotes

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

Vertical : x = - 2, x = 2, Horizontal : y = 1

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = - 2, x = 2, Horizontal : y = 1

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

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

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

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

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

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