$[3\mathrm{.}02/9\mathrm{.}1$ Points$]$

LARCALCET$74\mathrm{.}5\mathrm{.}066.$

The graph of $f(x)$ is shown $($see figure$).$

$f(x)=\frac{2x}{\sqrt[\phantom{2}]{x^2+6}}$

$($a$)$ Find the following limits$.$

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

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

$($b$)$ Determine $x_1$ and $x_2$ in terms of $.$

$x_1=$

$x_2=$

$($c$)$ Determine $M,$ where $M>0,$ such that $|f(x)-L|<mi\; id="EditorElement\_400798"></mi>$ for $x>M.$

$M=$

$($d$)$ Determine $N,$ where such that $|f(x)-K|<mi\; id="EditorElement\_400669"></mi>$ for $N=x.$

$N=$

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