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Author:
Crystal Kirch

Students will be able to identify the three types of limits that don't exist.

Students will now understand the difference between removable and non-removable discontinuities

Students will be able to write one-sided limit statements for any limit that does not exist.

Students will be able to clearly describe the difference between a limit and a value, as well as provide examples of each.

WATCH - By the end of this lesson, students will be able to complete the following problems from the SSS packet individually. Page 12 PQ #1, page 13 PQ #4, summary table at end of concept

SUMMARY - By the end of this lesson, students will be able to answer the following questions:

1.Describe in detail the three times a limit does not exist. Include words, picture, etc

2. How do you write one-sided limit statements?

3. Does a limit exist at a hole? Why or why not?

4. Is the value of a function and the limit of a function always the same? Why or why not? (provide an example)

QUESTION - By the end of this lesson, students will be able to ask a Higher-Order Thinking question regarding the content covered.

Tutorial

This packet will correspond to the notes you need to take with the videos.

You can download a copy of this packet by clicking on the arrow pointing down in the lower left hand corner of the document screen.

Full Screen

Source: Created by Crystal Kirch. Problems and pictures taken from Google Images.

In this video, learn more specific reasons why limits don't exist (3 of them!). Learn how to write one-sided limit statements for limits that don't exist due to jump discontinuities or unbounded behavior.

Source: Created by Crystal Kirch using Camtasia for Mac