11.1 – Introduction to Limits

• Definition
• Estimating numerically (make a table of values)
• Graphing
• Limits that DNE

Comparing left and right-hand behavior

Unbounded (infinite)

Oscillating

• Using Direct Substitution
• Properties of Limits

Day 1:  

What’s a limit?

What does it look like on a graph?

(2nd ppt here)

Assignment:  Worksheet

Day 2:

Finding a limit numerically, one-sided limits

Assignment:

Pg. 788 #1 – 23 odd, #51 – 69 odd

Day 3:

Limits of piecewise functions

Assignment:

Worksheet

Day 4:  

Limits that DNE, Properties of Limits

Assignment:

Pg. 789 #29 - 49

11.2 – Techniques for Evaluating Limits

• Dividing out technique
• Rationalizing technique
• Using technology
• Difference Quotient

Day 1:  

Dividing Out Technique

Rationalizing Technique

Assignment:  

Pg. 798 #1, 3, 5, 7, 11, 13, 17, 19, 23, 25, 27, 31, 33, 37, 41, 45

Day 2:

Using Technology

Difference Quotient

Assignment:

Pg. 799 #53, 57, 59, 67, 69, 73, 77, 81

11.3 – The Tangent Line Problem

• Tangent to a graph
• Slope of a graph
• Slope and the limit process
• The Derivative of a Function

Day 1:  

Tangent and Slope of a graph

Assignment:

Pg. 808 #1, 3, 5, 7, 11, 13, 15, 19, 21, 39, 41

Day 2:

Derivative

Assignment:

Pg. 808 #25, 27, 29, 33, 35, 51, 53, 55, 57, 63

11.4 – Limits at Infinity and Limits of Sequences

• Limits at Infinity and Horizontal Asymptotes
• Limits of Sequences

Day 1:  

Limits at ∞ and limits of sequences

Assignment:

Pg. 817 #9, 11, 15, 19, 25, 27, 35, 39, 41, 43, 47, 55