Use the graph to find the following limits$.$

$($a$)\underset{x-3}{lim}f(x)$

$($b$)\underset{x-1}{lim}f(x)$

$($a$)$ Find $\underset{x-3}{lim}f(x)$ or state that it does not exist. Select the correct choice below and, if necessary, fill in the answer box within your choice.

A$.\underset{x-3}{lim}f(x)=$

$($Round to the nearest integer as needed.$)$

B$.$ The limit does not exist.

$($b$)$ Find $\underset{x-1}{lim}f(x)$ or state that it does not exist. Select the correct choice below and, if necessary, fill in the answer box within your choice.

A$.\underset{x-1}{lim}f(x)=$

$($Round to the nearest integer as needed.$)$

B$.$ The limit does not exist.

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