Textbook Problem

Parking costs The Ace Parking Garage charges $5.00 for parking for 2 hours or less and $1.50 for each extra hour or part of an hour after the 2-hour minimum. The parking charges for the first 5 hours could be written as a function of the time as follows:

$f(t)=\{\begin{array}{l}\$5.00\text{ if 0<}t\le 2\\ \$6.50\text{ if 2<}t\le 3\\ \$8.00\text{ if 3<}t\le 4\\ \$9.50\text{ if 3<}t\le 5\end{array}$

(a) Find $\underset{t\to 1}{\lim }f(t)$, if it exists.

(b) Find $\underset{t\to 2}{\lim }f(t)$, if it exists.