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Chapter 8 Limit and Continuity of Functions

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Presentation on theme: "Chapter 8 Limit and Continuity of Functions"— Presentation transcript:

1 Chapter 8 Limit and Continuity of Functions
2.Graphical meaning

2 Section 2 Infinity

3 Section 3 Properties of Limit of a Function

4 Graphical presentation of Sandwich Theorem for functions

5 Examples

6 Correction of e.g.2 Read Theorems 4.1 and 4.2 on P.352

7 Two Important Limits Read the lemma 5.1 on p.354 first!!

8 Proof of Theorem 5.2

9 Read Example 5.1 on p.356 Proof of Theorem 5.3 Homework:Ex.8.2,1-5

10

11 Example 4.2

12 Example 5.1

13 Example 5.1(b)

14 Homework:Ex.8.2,1-5 Example 5.1(c)

15 Section 6 Definition and Properties of Continuous Functions

16 Operations of Continuous Functions

17 Theorem 7.2 Examples of continuous functions

18 Theorem 7.4

19 Example 7.1

20 Example 7.3

21

22

23 For negative integer n:

24 Hand in Ex.8.3,Q.5,9-14 on For rational number n :


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