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Warmup

Warmup. Warmup. Welcome to Class. A quote for today:. Success is the sum of small efforts, repeated day in and day out. Robert Collier (Inspirational Author). Homework Answers: Packet p. 1 & 2—“Pushed Beyond the Limit?”. Answer: “There are no limits in life.”. Homework Questions?. Day 2

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Warmup

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  1. Warmup

  2. Warmup

  3. Welcome to Class A quote for today: Success is the sum of small efforts, repeated day in and day out.Robert Collier (Inspirational Author) Homework Answers: Packet p. 1 & 2—“Pushed Beyond the Limit?” Answer: “There are no limits in life.”

  4. Homework Questions?

  5. Day 2 Limits & Continuity

  6. Groupwork: “Exploring Continuity”

  7. Proving Continuity In order for a function f(x) to be continuous at a point x=c the following three conditions must be met: • f (c ) must exist • exists, which means

  8. Example Problem #1 • Is the function continuous at x=2 ?

  9. Example Problem #2 • Is the function continuous at x=2 ?

  10. Limits are useful for exploring continuity Example: (We will use the calculator to get the graph!) TBLSET: TblStart: 2 ∆Tbl: 0.01 The limit of a continuous function at some given value of x will be the function evaluated at that value.

  11. Limits are useful for exploring continuity (continued) What type of discontinuity does the following function have? TBLSET: TblStart: 2 ∆Tbl: 0.01

  12. An IMPORTANT example to explore with the calculator Tblset: Tblstart: 0 ∆tbl: 0.001 Radian Mode!!! KNOW THIS!!!

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