Answer
(a)
$$\lim\limits_{x \to -3^{-}} f(x)=4$$
(b)
$$\lim\limits_{x \to -3^{+}} f(x)=4$$
(c)
$$
\lim\limits_{x \to -3} f(x)=4
$$
the limit exist since,
$$
\lim\limits_{x \to -3^{-}} f(x)=\lim\limits_{x \to -3^{+}} f(x)=4
$$
and its value equal 4.
(d)
$$
f(-3)=4
$$
since the point $(-3,4)$ is a point of the graph $f(x).$
Work Step by Step
(a)
$$\lim\limits_{x \to -3^{-}} f(x)=4$$
(b)
$$\lim\limits_{x \to -3^{+}} f(x)=4$$
(c)
$$
\lim\limits_{x \to -3} f(x)=4
$$
the limit exist since,
$$
\lim\limits_{x \to -3^{-}} f(x)=\lim\limits_{x \to -3^{+}} f(x)=4
$$
and its value equal 4.
(d)
$$
f(-3)=4
$$
since the point $(-3,4)$ is a point of the graph $f(x).$
