Worksheet: Limits from Tables and Graphs

An introductory worksheet on limits with which to practice and explore an intuitive understanding of the limit concept with tables of values and graphs of functions.

Q1:

Use the graph shown to find .

Q2:

Estimate from the given table.

	1.9	1.99	1.999		2		2.001	2.01	2.1
	7.1	7.91	7.991				8.009	8.09	8.9

Q3:

Use the graph shown to find .

Q4:

Use the graph below to find .

Q5:

Determine , if it exists.

Q6:

Find .

Q7:

Determine , if it exists, by evaluating the function at the following values of : , , , , , , , , , , , and , rounding the result to the nearest six decimal places.

A
BThe limit does not exist.
C0
D

Q8:

Estimate numerically, given that .

	1.9	1.99	1.999		2		2.001	2.01	2.1
	3.8	3.98	3.998				4.002	4.02	4.2

Q9:

Determine by evaluating the function at the following values of : , , , , and .