Limit Right 303F9A
1. The problem asks for a reasonable estimate of the right-hand limit of the function $g$ as $x$ approaches 0, i.e., $\lim_{x \to 0^+} g(x)$.
2. The right-hand limit means we consider values of $x$ that are positive and very close to 0.
3. From the table, the values of $g(x)$ for $x$ approaching 0 from the right are:
- At $x=0.002$, $g(x)=1250$
- At $x=0.02$, $g(x)=125$
- At $x=0.2$, $g(x)=13$
4. Notice that as $x$ gets closer to 0 from the right, $g(x)$ increases dramatically (from 13 to 125 to 1250). This suggests the function values are growing very large near 0 from the right side.
5. Since the values increase without bound as $x$ approaches 0 from the right, the limit is not a finite number but tends to infinity.
6. Therefore, the reasonable estimate for $\lim_{x \to 0^+} g(x)$ is that it is unbounded (infinite).
Final answer: D Unbounded