### Day 08 - Limits at Infinity - 08.26.15

Update
• Unit 1 Test next Thursday!
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• We are letting students choose whether or not they are willing to tutor for service hours instead of pay.
• Form closes on Sunday

Bell Ringer

1. 0

2. 5

3. none of the above

1. 3

2. 0

3. none of the above

1. Find the horizontal asymptote of .

1. 2

2. 0

3. none of the above

1. 0

2. 2

3. none of the above

Review
• Math Overview (video)
• Numbers
• Relationships
• Shapes
• Change
• Limits
• Intro to Limits (video)
• Nonexistent Limits (video)
• How are limits found numerically and graphically? (checkpoints)
• How are limits found algebraically? (checkpoints)
• Continuity (videoand One-sided Limits (video)
• How can discontinuity of a function be described?
• How are one-sided limits related to regular limits? (checkpoints)
• Infinite Limits (video)

Lesson

Exit Ticket
• Posted on the board at the end of the block

Homework
• N/A
Lesson Objectives
• How are limits at infinity evaluated?

#### In-Class Help Requests

Standard(s)
• APC.2
• Define and apply the properties of limits of functions.
• Limits will be evaluated graphically and algebraically.
• Includes:
• ​limits of a constant
• ​limits of a sum, product, and quotient
• ​one-sided limits
• ​limits at infinity, infinite limits, and non-existent limits*
• APC.3
• Use limits to define continuity and determine where a function is continuous or discontinuous.
• Includes:
• ​continuity in terms of limits
• continuity at a point and over a closed interval
• ​application of the Intermediate Value Theorem and the Extreme Value Theorem
• ​geometric understanding and interpretation of continuity and discontinuity