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Sect.1.4 continued One-Sided Limits and Continuity.

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Presentation on theme: "Sect.1.4 continued One-Sided Limits and Continuity."— Presentation transcript:

1 Sect.1.4 continued One-Sided Limits and Continuity

2 Properties of Continuity If b is a real number and are both continuous at x = c then, the following are also continuous 1.Scalar: 2.Sum/Difference: 3.Product: 4.Quotient: 5.Composite: If g(x) is continuous at c and f(x) at g(c), then f[g(x)] is also continuous at c

3 8) Is continuous at x = –2 a. exists b. Jump Discontinuity Check the three conditions

4 9) Determine if is continuous for x = 1 a. exists b. Check the three conditions c. Limit DNE

5 10) For what value of ‘a’ is continuous a. exists b. Check the three conditions

6 11) is continuous for all real numbers for what value of ‘a’ and ‘b’ a. exists b. a. exists b.

7 12) is it continuous? a. exists b. c.

8 HOMEWORK Page 80 # 35-53 odd, 63-66 all


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