Investigating Limits with Tables

Grade 1145 min

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.

Lesson Flow

Watch Video

5 min

Approximating limits using tables | Limits and continuity | AP Calculus AB | Khan Academy

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Practice

14 min

7 questions • Short answer

Exit Ticket

5 min

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?

Teacher Guide

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  • Answer keys for all questions
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