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Attempt $1$: $5$ attempts remaining.

Let $f$ be defined as follows.

$f(x)=\{\begin{array}{cc}4x,& x2\\ x^2,& x>2\end{array}$

Evaluate the following limits$.$ It may help to sketch the function. Give an exact answer if a limit is a number. Otherwise, enter $-$ or $$ if a limit is infinite, or enter DNE if a limit does not exist in another way.

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

b$.\underset{x{2}^{+}}{lim}f(x)=$

c$.\underset{x2}{lim}f(x)=$

d$.f(2)=$

Is $f$ continuous at $x=2?$