Some Techniques for Evaluating Limits

1. May 26, 2015
Aim: How do we evaluate the Limits of different types
of functions? What are some of the important
techniques to evaluate Limits?
CCSS A-REI 11: Reasoning w/ Eqns (Limits)
DO NOW: Determine the following:
Use the Properties and Operations involving
limits for this problem.
Homework 70: Finish Worksheet probs on Properties of
LIMITS. In addition, pg 884/ 13-16.

2. May 26, 2015
Do Now Problem(s) 5-7 min
Motivation 2-3 min
Development 10 min
Group Work Activities 15-18 min
Wrap-up, Summary 5 min
(Exit Slips)
Lesson Agenda:

3. May 26, 2015
Numerous techniques for evaluating the Limit of a
function exist. We now will examine some of the
most useful techniques
4 Techniques (discussed in your textbook)
• Direct Substitution
• Cancellation (AKA Factor and Cancel)
• Rationalizing
• Using Technology
We have already discussed Direct Substitution and now
will discuss Cancellation.

4. May 26, 2015
What is Cancellation? When can
cancellation be used?
Limits of a function sometimes produce a 0/0 form.
For example
https://www.desmos.com/calculator/y0v0fqv5wa

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Limits: PPT Presentations,
Simulations (Visualization)
KEY-PRECALCULUS-DOCS 12-1IntroLimits.docx
https://www.desmos.com/calculator/qxwfuihzzz
_______limits.1.4.ppt
_____Calculus1.2limits_jk.ppt
_____1.2 calculus powerpoint.ppt

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Group Work:
Students are to get into your assigned groups and
discuss the worksheet problems 1-4 and 9-12.
After a predetermined time, selected group
members will report back to the class.
Summary
Exit Slips

18. May 26, 2015