1. The problem asks to find the limit of the function $T(x)$ as $x$ approaches 60, i.e., $\lim_{x \to 60} T(x)$.
2. From the graph description, $T(x)$ is a stepwise function representing sales tax in cents over years from 1933 to about 2009.
3. Since 60 corresponds to the year 1960, we look at the tax value around that year on the graph.
4. The graph shows horizontal segments with steps at years 43, 67, 90, etc. Since 60 is between 43 and 67, the tax value $T(x)$ is constant in this interval.
5. Therefore, the limit as $x$ approaches 60 is the value of $T(x)$ on the segment between 43 and 67.
6. According to the description, the tax value in this interval is approximately 4 cents.
7. Hence, $$\lim_{x \to 60} T(x) = 4.$$
Limit At 60 6Ffe38
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.