Let $f(x)=2x^4-x^2+x+10.$ Find the value of the following limits if they exist.

$($a$)(2$ pts$)\underset{x2}{lim}f(x).$

$($b$)(2$ pts$)\underset{x0}{lim}f(x).$

$($c$)(2$ pts$)\underset{x-2}{lim}f(x).$