$5$

Mark for Review

The function $g$ is given by $g(x)=\frac{1}{x^2-4x+5}.$ The function $h$ is given by $h(x)=\frac{2x^2-8x+10}{x^2-4x+6}.$ If $f$ is a function that satisfies $g(x)f(x)h(x)$ for $\underset{x2}{lim}f(x)0,$ what $is\underset{x2}{lim}f(x)?$

$(B)1$

$2$

The $limit$ cannot $be$ determined from the information given.