Section 10.3 - More Limits
Essential Question(s):
Explain how to determine if a limit exists.
Assuming the limit exists, explain the methods you could use to determine the limit of a given function.
How does infinity play a role with limits?
Follow these three steps to complete this "flip" lesson.
STEP 1: Preparation
Title your spiral with the heading above and copy the essential question(s).
Title your spiral with the heading above and copy the essential question(s).
STEP 2: Vocabulary & Examples
Copy and define the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed. Review the following examples and copy what is necessary for you. Use the guiding questions for your cornell notes.
Copy and define the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed. Review the following examples and copy what is necessary for you. Use the guiding questions for your cornell notes.
A Little History
- Read this section for enrichment. :) (pg 813)
- Review the informal definition of a limit at a. (pg 813)
- How can you find a limit of a function? (Ex 1 pg 814)
- What are the properties of limits? (pg 815)
- How can you use the properties of limits? (Ex 2 pg 815-816)
- Review continuity. (pg 90 - 92; also pg 816 small paragraph)
- How do you find the limits using substitution? (Ex 3 pg 816-817) (read the paragraph after)
- What is the left-hand and right-hand limit? (pg 817)
- How do you find the left- and right-hand limits? (Ex 4 pg 817)
- What is a two-sided limit? (top pg 818)
- What is the One-sided and Two-sided limits theorem? (top pg 818) (read the paragraph after)
- How do you find the limit at a point of discontinuity? (Ex 5 pg 818)
- How do you find one-sided and two-sided limits? (Ex 6 pg 818-819)
- What is the definition of a limit at infinity? (pg 819)
- What happens when the limit at infinity isn't a real number? (bottom of pg 819)
- What is an infinite limit and why isn't it considered a limit? (bottom of pg 819 & left)
- How are graphs used to determine limits as x approaches +- infinity? (Ex 7 pg 820) (read the paragraph after)
- How are tables used to determine limits as x approaches +- infinity? (Ex 8 pg 820)
- How do you analyze unbounded limits? (Ex 9 pg 821)
- How do you analyze limits at discontinuities? (Ex 10 pg 821)
STEP 3: Reading
Read the following page(s) and take any extra notes as needed.
Read the following page(s) and take any extra notes as needed.
- Read pages 813 - 821.
- Make sure to read the paragraphs between the examples.
