Investigating Limits with Tables
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Objective
I can analyze the values in a table to determine the limit of a function as x approaches a given point from both sides.
Part 1 of 3
Warm-up video
Khan Academy · 4:27Vetted channel
We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 3
Practice
7 questions
What does it mean for a limit to exist as x approaches a certain value? Provide a brief explanation.
Given the function f(x) = (x² - 4)/(x - 2), create a table of values for x approaching 2 from both the left and the right. What do you observe about the values of f(x) as x approaches 2?
Part 3 of 3
Exit ticket
Quick comprehension check
“Given the function f(x) = (x² - 1)/(x - 1), create a table of values for x approaching 1 from both the left and the right. What do you observe about the values of f(x) as x approaches 1? Consider the function g(x) = (x³ - 8)/(x - 2). Set up a table of values for x approaching 2 from both the left and the right. What conclusions can you draw about the limit of g(x) as x approaches 2?”
Sample answer included in the free materials
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