Investigating Limits with Tables
Learning 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.
Practice Questions
This lesson includes 7 practice questions to reinforce learning.
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1. What does it mean for a limit to exist as x approaches a certain value? Provide a brief explanation.
2. 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?
3. Explain how you would set up a table to investigate the limit of the function g(x) = (x³ - 1)/(x - 1) as x approaches 1. What values would you choose for x?
...and 4 more questions
Educational Video
Approximating limits using tables | Limits and continuity | AP Calculus AB | Khan Academy
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