Solve this Use the graph to find the following limits and function value for each value of a$.$

i$)\underset{x{a}^{-}}{lim}f(x)$ ii$)\underset{x{a}^{+}}{lim}f(x)$ iii$)\underset{xa}{lim}f(x)$ iv$)f(a),$ if it exists.

a$.$ For $a=2$

b$.$ For $a=4$

a$.$ i$)$ Select the correct choice below and fill in any answer boxes in your choice.

A$.\underset{x{2}^{-}}{lim}f(x)=,($Type an integer or a decimal.$)$

B$.$ The limit does not exist.