### Day 02 - Finding Limits - 08.19.14

Update
• N/A

Bell Ringer

1. What is the limit of the following function as x gets closer to 1?

1. 0

2. 1

3. 3

2. What is the limit of the following function as x gets closer to 0?

1. 0

2. 1

3. 2

3. What is the limit of the following function as x gets closer to 2?

1. 0

2. 1

3. none of the above

Review
• Go over results from Calculus Readiness Test
• Average =

Lesson
• Finding Limits
• Using a Table
• Using a Graph
• Epsilon-Delta Limit Proofs
• Checkpoints
• Find or prove the limits from the following problems.
• page 55 #9-13 (odds)
• page 55 #15-23 (odds)
• page 57 #43-53 (odds)

Exit Ticket
1. page 55 #10
2. page 55 #20
3. page 55 #26f
4. page 57 #46
Lesson Objective(s)
• How are limits of functions estimated numerically or graphically?
• How can limits fail to exist?
• How are limits proven to be true using epsilon-delta proofs of limits?

#### 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*

Mathematical Practice(s)
•

Past Checkpoints
• N/A