Title: Limit at a Point Post-Video Questions
Course: Calculus Videos Project > Section: Limit at a Point

Q: Suppose is a strictly decreasing function. This means that as increases, the values of decrease. The table below shows several values of .

Using values from the table only, what would be the most accurate overestimate for ?
- 1
- 2
- 3
- 4
- 5
- 15.2
- 13.9
- Undefined
- 9.7
- 5.2
- You need more information to determine the most accurate overestimate.
A: 13.9

Q: Suppose is a strictly decreasing function. This means that as increases, the values of decrease. The table below shows several values of .

if you use to approximate , how large could the error be using this approximation?
- 2
- 4
- 9.7
- 13.9-9.7
- Cannot be sure without more information
A: 13.9-9.7

Q: For which of the following does exist?
I

II

III

IV
- IV only
- III and IV only
- II, III, and IV only
- I, II, III, and IV
- None of these
A: III and IV only

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