Determine the following limits$,$ using $$ or $-$ when appropriate, or state that they do not exist.

a$.\underset{x-3^{+}}{lim}\frac{(x-8)}{x(x+3)}$

b$.\underset{x-3^{-}}{lim}\frac{(x-8)}{x(x+3)}$

c$.\underset{x-3}{lim}\frac{(x-8)}{x(x+3)}$

a$.$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A$.\underset{x-3^{+}}{lim}\frac{(x-8)}{x(x+3)}=,($Simplify your answer.$)$

B$.$ The limit does not exist and is neither $$ nor $-.$