Estimating Limits Using Tables

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Objective

I can estimate the limit of a function at a point by analyzing numerical data in a table.

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

1

Explain how a table of values can be used to estimate the limit of a function as x approaches a specific value.

2

Given the following table, estimate the limit of f(x) as x approaches 1. x | 0.9 | 0.99 | 0.999 | 1.001 | 1.01 | 1.1 ---|---|---|---|---|---|--- f(x) | 2.71 | 2.97 | 2.997 | 3.003 | 3.03 | 3.31

Part 3 of 3

Exit ticket

Quick comprehension check

Estimate the limit of f(x) as x approaches 2 based on the table below: Estimate the limit of g(x) as x approaches -1 based on the table below:

Sample answer included in the free materials

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