Limits from Graphs
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Objective
I can identify from a graph when a limit does not exist due to unbounded behavior, oscillations, or differing one-sided limits.
Part 1 of 3
Warm-up video
Unknown Channel · 5:00
We don't generate video — this one is by Unknown Channel 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
Explain in your own words what it means for a limit to not exist at a particular x-value. Give three reasons, based on graphical behavior, why a limit might not exist.
Sketch a graph of a function where the limit as x approaches 1 from the left is 3, and the limit as x approaches 1 from the right is -1. What is the value of f(1) in your graph?
Part 3 of 3
Exit ticket
Quick comprehension check
“Describe the behavior of the function f(x) = 1/x² as x approaches 0. Does the limit as x approaches 0 of f(x) exist? Explain why or why not. Imagine a function g(x) that oscillates infinitely many times between the values of -3 and 3 as x approaches 5. Does the limit as x approaches 5 of g(x) exist? Explain why or why not. ”
Sample answer included in the free materials
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