Limit from a Table of Values

Question

The table shows values for the function $$f$$ for selected values of $$x$$. Based on the data, which of the following statements about $$\lim_{x 	o 3} f(x)$$ 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          |

Accepted Answer

The limit does not exist because as $$x$$ approaches $$3$$, the function approaches $$-\infty$$ from the left and $$+\infty$$ from the right.

Answer

The limit equals $$-\infty$$ as the function only tends towards negative infinity.

Answer

The limit equals $$+\infty$$ because the table shows large positive values.

Answer

The limit equals $$0$$ since the values seem to get closer to zero away from the discontinuity.

Rank	User	Correct Count	Attempt Count	Total Time	Score
#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	_kultann	1	1	0m 43s	57
#8	bhavyarajdharnia	1	1	0m 48s	52
#9	omar.nurdaulet24	1	1	0m 54s	46
#10	Derinchiay2013	1	1	1m 03s	37

Limit from a Table of Values

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