Lesson Worksheet: Limits from Tables and Graphs Mathematics • 12th Grade

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

Q1:

If graph shown represents the function 𝑓(𝑥)=𝑥3, determine lim𝑓(𝑥).

Q2:

Determine the limit as 𝑥2 of the function represented by the graph.

Q3:

Estimate lim𝑓(𝑥) from the given table.

𝑥2.12.012.00121.9991.991.9
𝑓(𝑥) 36.9 36.09 36.009 35.991 35.91 35.1

Q4:

Estimate lim𝑓(𝑥) numerically, given that 𝑓(𝑥)=𝑥25𝑥5.

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

Q5:

Determine lim𝑓(𝑥) if it exists.

Q6:

Determine the limit of the function as 𝑥2.

  • A2
  • BThe limit does not exist.
  • C3
  • D0

Q7:

Using the graph shown, determine lim𝑓(𝑥).

Q8:

Determine lim𝑓(𝑥), if it exists.

  • A1
  • BThe limit does not exist.
  • C5

Q9:

Determine lim𝑓(𝑥), if it exists.

Q10:

Determine lim𝑓(𝑥).

Practice Means Progress

Download the Nagwa Practice app to access 67 additional questions for this lesson!

scan me!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.