Worksheet: Limits from Tables and Graphs

In this worksheet, we will practice how to find limits of functions from graphs and tables of values.

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.

A0
B
C
DThe limit does not exist.

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 .