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Calculus 1-4 Continuity and One-Sided Limits. Vocabulary Continuous: A function that is uninterrupted in the given interval None of these is continuous.

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Presentation on theme: "Calculus 1-4 Continuity and One-Sided Limits. Vocabulary Continuous: A function that is uninterrupted in the given interval None of these is continuous."— Presentation transcript:

1 Calculus 1-4 Continuity and One-Sided Limits

2 Vocabulary Continuous: A function that is uninterrupted in the given interval None of these is continuous

3 Continuity

4 Vocabulary Removable Discontinuity: The function can be made continuous by defining f(c). Non-Removable Discontinuity: The function cannot be made continuous at one point.

5 Continuity

6

7

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9 Continuity - Practice

10

11

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13 Vocabulary One-Sided Limit: A limit that is not continuous, but does exist from only one direction Limit from the right: Limit from the left:

14 One-Sided Limits - Example

15 One-Sided Limits - Practice

16 Discussion

17 One-Sided Limits - Example

18 One-Sided Limits - Practice 2 1 1 2 No

19 One-Sided Limits - Practice

20 Limits

21 Continuity - Example

22 Continuity - Practice

23 Limits - Example

24

25 Continuity - Properties

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27 Continuity - Practice

28 Continuity Composites - Properties

29 Limits - Practice

30

31

32 Practice

33

34

35 Intermediate Value Theorem

36 Intermediate Value Theorem - Example

37

38 Exploration

39

40 Homework p.76-79 3,7,9,11,15,17,25,26,40,43,57,60,79, 87ab,89,100


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