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# Unit U Concept 4 - Writing One-Sided Limit Statements Limits that Don't Exist

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Author: Crystal Kirch
##### Description:

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.

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Tutorial

## Unit U SSS

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.

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

## Unit U Concept 4 Video Lesson

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

## Unit U Concept 4 Online WSQ

Answer these questions in this Online WSQ. Remember to be thorough and detailed in your answers, and come ready to discuss in class.
Secret Questions must be completed in your SSS and will be checked in class.