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

Tick all of the following statements that are correct.

$\underset{x-1^{-}}{lim}f(x)=-$

$\underset{x-1^{-}}{lim}f(x)=$

$y=f(x)$ has a vertical asymptote at $x=1.$

$y=f(x)$ has a horizontal asymptote at $y=4.$

$\underset{x{1}^{+}}{lim}f(x)=4$

$\underset{x}{lim}f(x)=.$

$\underset{x-}{lim}f(x)=2$

$y=f(x)$ has a horizontal asymptote at $y=2.$