1. **State the problem:** We need to find the left-hand limit of the function $f(t)$ as $t$ approaches 75 from the left, i.e., $\lim_{t \to 75^-} f(t)$. The table provides values of $t$ close to 75 from the left and corresponding $f(t)$ values. 2. **Analyze the table:** The table shows values of $t$ approaching 75 from the left: 74.5, 74.975, 74.9975, 74.99975, and the corresponding $f(t)$ values: 0.74, 0.975, 0.9975, 0.99975. 3. **Observe the pattern:** As $t$ gets closer to 75 from the left, $f(t)$ values get closer to 1. 4. **Conclusion:** Therefore, the left-hand limit is $$\lim_{t \to 75^-} f(t) = 1.$$