The graph of a function is shown.

$$

$($a$)$ Does $f(x)$ have a limit at $x=a,$ as $x$ approaches $a?$

$$ Yes

No

$($b$)$ Is $f(x)$ continuous at $x=a?$

Yes

No

$($c$)$ Is $f(x)$ differentiable at $x=a?$

Yes

No