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Flashback 10-11-12 Question #1: The population of the city of Boston was 520,000 in 2005. Assume the population grows at a constant rate of 7% per year.

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Presentation on theme: "Flashback 10-11-12 Question #1: The population of the city of Boston was 520,000 in 2005. Assume the population grows at a constant rate of 7% per year."— Presentation transcript:

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2 Flashback 10-11-12 Question #1: The population of the city of Boston was 520,000 in 2005. Assume the population grows at a constant rate of 7% per year. Which of the following is an expression for the population of Boston in the year 2010? (a) 520,000(1.07) 4 (b) 520,000(1.07) 6 (c) 520,000(1.07) 5 (d) 520,000(1.17) 1/5 (e) 520,000(1.17) 5

3 Joke of the day A math professor is one who talks in someone else's sleep.

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5 1 and 2 sided limits

6 Look at example on p. 64 What limits do we have: At x = 0: At x = 1: At x = 2: At x = 3: At x = 4:

7 Sandwich Theorem If we have a function whose graph lies between 2 other functions, and we know the limits of the larger and the smaller functions at a given point are equal to each other, then then the limit of the “middle” function at that point is equal to the limits of the other 2 functions.

8 How this works

9 Your turn! P. 66-68 Exercises 20, 26, 37, 40, 61,62

10 Exit Slip 1.What do you know about limits?


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