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2.3 Basic Limit Laws Thurs Sept 19

2.3 Basic Limit Laws Thurs Sept 19. Do Now: Determine whether the limit exists via numerical (table) or graphical evidence. Explain why. Computation of Limits. Thm - For any constant c and any real number a, Ex: Thm - For any real number a, Ex:.

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2.3 Basic Limit Laws Thurs Sept 19

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  1. 2.3 Basic Limit LawsThurs Sept 19 Do Now: Determine whether the limit exists via numerical (table) or graphical evidence. Explain why

  2. Computation of Limits • Thm- For any constant c and any real number a, • Ex: • Thm- For any real number a, • Ex:

  3. Thm- Suppose that and both exist, and let c be any constant then the following apply: • 1) • 2) • 3) • 4)

  4. Corollaries • Using the theorems from the previous page, we have the following:

  5. What this means: • We can evaluate limits by plugging a value into X • Book examples p.78

  6. You try • Evaluate each limit • 1) • 2) • 3)

  7. Remember! • All of these theorems are only valid IF the limits exist! • That means we can’t use them if a function is undefined at that value • For now, we have to use a graph or a table to conjecture what the limit is

  8. Closure • Journal Entry: How do we evaluate limits? What must be true to evaluate limits (so far)? • HW: p.80 #5 13 19 27 29 33 35

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