## Section 2.2 - Limits Involving Infinity

**Essential Question(s):**

How does infinity affect 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).

**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.

__Finite Limits as x approaches positive/negative infinity__

- What is infinity? (pg 70)
- What is a horizontal asymptote? (pg 70)
- Review how graphs and tables are used to find horizontal asymptotes. (Ex 1 pg 70)

__Squeeze Theorem Revisited__

- How is the squeeze theorem applied to limits to infinity? (Ex 2 pg 71)
- What are the properties of limits as x approaches positive/negative infinity? (Theorem 5 pg 71)
- How are the properties of infinite limits applied? (Ex 3 pg 72)

__Infinite Limits as x approaches positive infinity__

- What is a vertical asymptote? (pg 72)
- Review how to find and describe vertical asymptotes. (Ex 4 pg 73)
- Review how to find and describe vertical asymptotes of trig functions. (Ex 5 pg 73)

**STEP 3: Reading**

__Read__the following page(s) and take any extra notes as needed.

- Read pages 70-75
- Make sure to read the paragraphs between the examples and sidebar snippets.