Limit Approximation From Tabular Values

Question

The function $$j$$ is continuous and decreasing for $$x < 0$$. The table gives values of $$j$$ at selected values of $$x$$. Which of the following is the best approximation for $$\displaystyle \lim_{x 	o -2} \frac{1}{j(x) - 3}$$?

| $$x$$     | $$-2.1$$   | $$-2.01$$  | $$-2.001$$ | $$-1.999$$ | $$-1.99$$  | $$-1.9$$   |
|---------|----------|----------|----------|----------|----------|----------|
| $$j(x)$$  | $$3.525$$  | $$3.502$$  | $$3.5002$$ | $$3.4998$$ | $$3.498$$  | $$3.475$$  |

Accepted Answer

$$\displaystyle 2$$

Answer

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

Answer

The limit does not exist.

Answer

$$\displaystyle 1$$

Limit Approximation From Tabular Values

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