Answer
(a) Please see the graph.
(b) $$\begin{array}{|c|c|c|c|c|c|c|c|} \hline
t & 3 & 3.3 & 3.4 & 3.5 & 3.6 & 3.7 & 4 \\ \hline
C & 7.77 & 8.76 & 8.76 & 8.76 & 8.76 & 8.76 & 8.76 \\ \hline
\end{array}$$
(c) $$\begin{array}{|c|c|c|c|c|c|c|c|} \hline
t & 2 & 2.5 & 2.9 & 3 & 3.1 & 3.5 & 4 \\ \hline
C & 6.78 & 7.77 & 7.77 & 7.77 & 8.76 & 8.76 & 8.76 \\ \hline
\end{array}$$
Work Step by Step
(b) Looking at the graph and table, we find that as $x$ approaches $3.5$ from the left and right, the function $C(t)$ approaches $8.76$. Thus, we can conclude that$$\lim_{x \to 3.5} C(t)= 8.76 \, .$$
(c) Looking at the graph and table, we find that as $x$ approaches $3$ from the left and right, the function $C(t)$ approaches $7.77$ and $8.76$, respectively. Thus, we can conclude that $\lim_{x \to 3} C(t)$ does not exist.
