Answer
$\displaystyle \lim_{t\rightarrow 1^{}}C(t)$ does not exist.
Work Step by Step
In the time before $t=1$, the values of $C(t)$ was $0.06$, so approaching $t=1$ from the left, we have
$\displaystyle \lim_{t\rightarrow 1^{-}}C(t) =0.06.$
After $t=1$ (to the right of it), we have
$\displaystyle \lim_{t\rightarrow 1^{+}}C(t) =0.08.$
We see that the one sided limits exist, but are not equal. Therefore:
$\displaystyle \lim_{t\rightarrow 1^{-}}C(t)$ does not exist.
