2.3 Basic Limit LawsWed Sept 16

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:

• Thm- Suppose that and both exist, and let c be any constant then the following apply:

• 1)

• 2)

• 3)

• 4)

Corollaries

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

•

•

•

• What this means:• We can evaluate limits by plugging a

value into X

• Book examples p.78

You try

• Evaluate each limit

• 1)

• 2)

• 3)

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

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