Title: Limit at a Point PreVideo Questions
Course: Calculus Videos Project Modules

Q: Which of the following most accurately represents the meaning of [Image: equation]?
- L is equal to [Image: equation] (Incorrect)
- [Image: equation] gets close to L but never equals L (Incorrect)
- The process of getting closer and closer to L (Incorrect)
- [Image: equation] can become as close to L as desired by making [Image: equation] get closer to [Image: equation] (Correct)
- [Image: equation] can become as close to L as desired by making [Image: equation] get closer to [Image: equation] (Incorrect)
- lim [Image: equation] is an approximation that you can make as close to L as desired (Incorrect)
- We can't say for sure because [Image: equation] might be undefined (Incorrect)
A: [Image: equation] can become as close to L as desired by making [Image: equation] get closer to [Image: equation]

Q: For which of the following does [Image: equation] exist?
I
[Image: image]
II
[Image: image]
III
[Image: image]
IV
[Image: image]
- IV only (Incorrect)
- III and IV only (Correct)
- II, III, and IV only (Incorrect)
- I, II, III, and IV (Incorrect)
- None of these (Incorrect)
A: III and IV only

Q: Suppose [Image: equation] is a strictly decreasing function. This means that as [Image: equation] increases, the values of [Image: equation] decrease. The table below shows several values of [Image: equation].
[Image: image]
if you use [Image: equation]to approximate [Image: equation], how large could the error be using this approximation?
- 2 (Incorrect)
- 4 (Incorrect)
- 11.7 (Incorrect)
- 12.9-11.7 (Correct)
- [Image: equation] (Incorrect)
- Cannot be sure without more information (Incorrect)
A: 12.9-11.7

Q: Suppose [Image: equation] is a strictly decreasing function. This means that as [Image: equation] increases, the values of [Image: equation] decrease. The table below shows several values of [Image: equation].
[Image: image]
Using values from the table only, what would be the most accurate overestimate for [Image: equation]?
- 1 (Incorrect)
- 15.5 (Incorrect)
- 2 (Incorrect)
- 12.9 (Correct)
- 3 (Incorrect)
- Undefined (Incorrect)
- 4 (Incorrect)
- 11.7 (Incorrect)
- 5 (Incorrect)
- 9.2 (Incorrect)
- You need more information to determine the most accurate overestimate. (Incorrect)
A: 12.9