Worksheet: Limits from Tables and Graphs

In this worksheet, we will practice evaluating the limit of a function using tables and graphs.

Q1:

Estimate numerically, given that .

 𝑥 𝑓 ( 𝑥 ) 4.9 4.99 4.999 ⟶ 5 ⟵ 5.001 5.01 5.1 9.8 9.98 9.998 ⟶ ⟵ 10.002 10.02 10.2

Q2:

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

Q3:

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.

Q4:

Determine the limit as of the function represented by the graph.

Q5:

Determine the limit as of the function represented by the graph.

Q6:

If graph shown represents the function , determine .

Q7:

Given that the following graph represents the function , determine .

Q8:

Determine the limit of the function as .

Q9:

Determine the limit of the function as .

Q10:

Using the graph representing the function , determine .

Q11:

Determine the limit as of the function represented by the graph.

Q12:

Determine the limit of the function as .

Q13:

If the following graph represents the function , determine .

Q14:

Using the graph shown, determine .

Q15:

Determine .

• A0
• B8
• C3
• DThe limit does not exist.