APFIVE Limit from a Table of Values
The table shows values for the function $$f$$ for selected values of $$x$$. Based on the data, which of the following statements about $$\lim_{x \to 3} f(x)$$ is true?
| x | f(x) = 1/(x-3) |
|---|---|
| 2.5 | -2 |
| 2.9 | -10 |
| 2.99 | -100 |
| 3.01 | 100 |
| 3.1 | 10 |
| 3.5 | 2 |
A
The limit equals $$+\infty$$ because the table shows large positive values.
B
The limit does not exist because as $$x$$ approaches $$3$$, the function approaches $$-\infty$$ from the left and $$+\infty$$ from the right.
C
The limit equals $$0$$ since the values seem to get closer to zero away from the discontinuity.
D
The limit equals $$-\infty$$ as the function only tends towards negative infinity.
Question Leaderboard
| Rank | |||||
|---|---|---|---|---|---|
| #1 | alexsarkosh | 1 | 1 | 0m 00s | 100 |
| #2 | iveara0 | 1 | 1 | 0m 00s | 100 |
| #3 | ngawang.pdukpa2020 | 1 | 1 | 0m 00s | 100 |
| #4 | yeejayc | 1 | 1 | 0m 15s | 85 |
| #5 | 20.ali.abdelaal.09 | 1 | 1 | 0m 21s | 79 |
| #6 | kamalkaren31 | 1 | 1 | 0m 38s | 62 |
| #7 | bhavyarajdharnia | 1 | 1 | 0m 48s | 52 |
| #8 | omar.nurdaulet24 | 1 | 1 | 0m 54s | 46 |
| #9 | Derinchiay2013 | 1 | 1 | 1m 03s | 37 |
| #10 | y.seong2027 | 1 | 1 | 1m 52s | -12 |
Items per page:
10
1 – 10 of 11