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CHAPTER 2.2 AND 3. SECTION 2—LIMITS INVOLVING INFINITY—DAY 1 EQ: What is the difference between evaluating a limit at infinity and a function whose limit.

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Presentation on theme: "CHAPTER 2.2 AND 3. SECTION 2—LIMITS INVOLVING INFINITY—DAY 1 EQ: What is the difference between evaluating a limit at infinity and a function whose limit."— Presentation transcript:

1 CHAPTER 2.2 AND 3

2 SECTION 2—LIMITS INVOLVING INFINITY—DAY 1 EQ: What is the difference between evaluating a limit at infinity and a function whose limit is infinite?

3 ACTIVATION

4 HORIZONTAL ASYMPTOTES

5 VERTICAL ASYMPTOTES

6 Remember: The limit of a sum = the sum of the limits The limit of a quotient = the quotient of the limits The limit of a constant = the constant

7 FIND THE HORIZONTAL ASYMPTOTES Just divide every term by the variable with the highest exponent

8 FIND THE VERTICAL ASYMPTOTES

9 HOMEWORK Page(s): 71 #1-8 all and all parts

10 SECTION 2—LIMITS INVOLVING INFINITY DAY 2 EQ: What is the difference between evaluating a limit at infinity and a function whose limit is infinite?

11 REVIEW

12 ACTIVATION—EVALUATE:

13 SKETCH THE GRAPH

14 TOMORROW’S CLASS WORK Page(s): 72 49 & 50

15 SECTION 2—LIMITS INVOLVING INFINITY DAY 2 EQ: What is the difference between evaluating a limit at infinity and a function whose limit is infinite?

16 WE BELONG TOGETHER CARDS

17 SECTION 3—CONTINUITY—DAY 1 EQ: What does it mean for a function to be continuous?

18 CONTINUITY

19 WORKING WITH LIMITS

20 CONTINUOUS BY EXTENSION

21 EXAMPLE:

22 INTERMEDIATE VALUE THEOREM

23 HOMEWORK Page(s): 80 11 to 16 all

24 SECTION 3—CONTINUITY—DAY 2 EQ: What does it mean for a function to be continuous?

25 DISCONTINUITY

26 EXAMPLES OF DISCONTINUITY

27 EXAMPLES

28 EXAMPLE:

29 HOMEWORK Page(s): 80 2 – 10 and 20 – 30 evens

30 SECTION 3—CONTINUITY—DAY 3 EQ: What does it mean for a function to be continuous?

31 IN CLASS ASSIGNMENT Count off by 4s Group 1: 31 and 38 Group 2: 32 and 37 Group 3: 33 and 36 Group 4: 34 and 35 Complete them in 20 minutes and be ready to present to the class (5 min max)


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