$[-/1$ Points$]$

Given that

$\underset{x2}{lim}f(x)=1,\underset{x2}{lim}g(x)=-2,\underset{x2}{lim}h(x)=0$

find each limit$,$ if it exists. $($If an answer does not exist, enter DNE.$)$

$($a$)\underset{x2}{lim}[f(x)+4g(x)]$

$($b$)\underset{x2}{lim}[g(x){]}^3$

$$

$($c$)\underset{x2}{lim}\sqrt[\phantom{2}]{f(x)}$

$$

$($d$)\underset{x2}{lim}\frac{2f(x)}{g(x)}$

$$

$($e$)\underset{x2}{lim}\frac{g(x)}{h(x)}$

$$

$($f$)\underset{x2}{lim}\frac{g(x)h(x)}{f(x)}$

$$

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