Limit of a Composite Function from a Table

Question

The function $$s$$ is continuous and decreasing for $$x < 2$$. The table shows values of $$s$$ for selected values of $$x$$. What is the best approximation for $$\displaystyle \lim_{x 	o 0} \sin(s(x))$$?

| $$x$$     | $$-0.1$$   | $$-0.01$$  | $$-0.001$$ | $$0.001$$  | $$0.01$$   | $$0.1$$    |
|---------|----------|----------|----------|----------|----------|----------|
| $$s(x)$$  | $$0.5408$$ | $$0.5253$$ | $$0.5238$$ | $$0.5234$$ | $$0.5219$$ | $$0.5064$$ |

Accepted Answer

$$\displaystyle \frac{1}{2}$$

Answer

$$\displaystyle \frac{\sqrt{3}}{2}$$

Answer

$$\displaystyle \frac{1}{4}$$

Answer

$$\displaystyle 1$$

Limit of a Composite Function from a Table

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