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Sec 2.5: CONTINUITY. Study continuity at x = 4 Sec 2.5: CONTINUITY Study continuity at x = 2.

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Presentation on theme: "Sec 2.5: CONTINUITY. Study continuity at x = 4 Sec 2.5: CONTINUITY Study continuity at x = 2."— Presentation transcript:

1 Sec 2.5: CONTINUITY

2 Study continuity at x = 4

3 Sec 2.5: CONTINUITY Study continuity at x = 2

4 Sec 2.5: CONTINUITY Study continuity at x = 2

5 Sec 2.5: CONTINUITY Study continuity at x = -2

6 Sec 2.5: CONTINUITY Cont at a Cont from right at a Cont from left at a

7 Three Types of Discontinuities removable discontinuity jump discontinuity infinite discontinuity Which condition s

8 Three Types of Discontinuities

9 Sec 2.5: CONTINUITY Continuous on [a, b]

10 Sec 2.5: CONTINUITY The inverse function of any continuous one-to-one function is also continuous.

11 Sec 2.5: CONTINUITY

12 continuous

13 Sec 2.5: CONTINUITY

14

15 One use of the Intermediate Value Theorem is in locating roots of equations as in the following example. Sec 2.5: CONTINUITY

16 H R H H H R

17 H R H R H H

18 H H R H R

19


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