Post on 02-Jan-2016
HW Review p.94 #1-17 37 39
• 1) 12 17) 1/8• 3) 0 37) 12• 5) 1/14 39) -1• 7) -1• 9) 11/10• 11) 2• 13) 1• 15) 2
Factoring Trigonometric Limits
• Rewriting limits in terms of sinx and cosx can help to eliminate factors
• EX:
The Squeeze Theorem
• Suppose thatfor all x in some interval (c,d), and that
where L is a numberThen, it follows that
• Since g(x) is “squeezed” by the other 2 functions, its limit must be the same.
Squeeze Theorem
• This theorem is good for products with sinx and cosx, because we know the range
• EX:
Closure
• What kind of methods can we use to help evaluate limits? Describe one.
• HW: p.94 #27 28 p.99 #7 8 9 11– 2.3 2.5 2.6 Quiz Wed
Quiz Review (On Fri)
• Ways to evaluate a limit:– Plug into function (IF DEFINED)– Factor and cancel undefined factor– Multiply by conjugates– Squeeze Theorem– Graph/Table (may not be accurate)
Worksheet p. 100 5-27 odds
• 5) 1 19) 0
• 7) 7^(1/2) 21) 2
• 9) -3/8 23) 2
• 11) 5 25) 9
• 13) 3/4 27) 4
• 15) 3/4
• 17) 1
HW Review p.100 6-26 evens
• 6) -1 20) e
• 8) 5^(1/3) 24) 1/4
• 10) -1/4 26) 0
• 12) -3 22) 1
• 14) -1/3
• 16) 1/6
• 18) -1