The function $$ is represented by the formula

$()=\{4+6$ if $3$

$53$ if $>3$

Answer the following questions. If a limit does not exist, use DNE. Justify your reasoning.

a$)$ lim

$3()=$

b$)$ lim

$3+()=$

c$)$ lim

$3()=$

d$)(3)=$

e$)$ Is $()$ continuous at $=3?$ Explain.