Day 03 - Epsilon-Delta Proofs - 08.20.14

Bell Ringer
  • Go over previous day's Exit Ticket

    1. 2

    2. 1 / 2

    3. 0

    4. 3

    5. none of the above

    1. does not exist

    2. 11 / 4

    3. 0

    4. 2

    5. none of the above

    1. does not exist

    2. 3

    3. 108 / 7

    4. 0

    5. none of the above

    1. 0

    2. 1

    3. does not exist

    4. 2

    5. none of the above
Review
  • Finding limits using a table
  • Finding limits using a graph
  • Epsilon-Delta Limit Proofs
Lesson
  • Finding Limit Properties
    • No textbooks or laptops for this
  • Dividing Out/Rationalizing Techniques
  • Give an example of two functions that agree at all but one point.
    • Practice Exercises
      • page 67 #5-21 (odds)
      • page 67 #23, 25
      • page 67 #27-35 (odds)
      • page 67 #37, 39
Exit Ticket
  • page 68 #86 and 88
Lesson Objective(s)
  • How are limit properties calculated analytically?
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)