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. ∞

    2. 0

    3. 1

    4. 3

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

    1. ∞

    2. 0

    3. 1

    4. 2

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

    1. ∞

    2. 0

    3. 1

    4. 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)
  • Check your answers with the following website.
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