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0:02:27
19. Explain why the function is discontinuous at the given number. Sketch the graph of the function.
0:02:09
18. Explain why the function is discontinuous at the given number. Sketch the graph of the function.
0:02:18
17. Explain why the function is discontinuous at the given number. Sketch the graph of the function.
0:02:06
16. Use the definition of continuity and the properties of limits to show that the function is
0:02:40
15. Use the definition of continuity and the properties of limits to show that the function is
0:02:29
14. Use the definition of continuity and the properties of limits to show that the function is
0:02:07
13. Use the definition of continuity and the properties of limits to show that the function is
0:01:07
11. Use the definition of continuity and the properties of limits to show that the function is
0:03:21
10. Explain why each function is continuous or discontinuous.
0:03:47
9. The toll T charged for driving on a certain stretch of a toll road is $5 except during rush hours
0:02:15
8. Sketch the graph of f that is continuous except for the stated discontinuity . Neither left nor
0:02:31
7. Sketch the graph of f that is continuous except for the stated discontinuity. Removable
0:02:19
6. Sketch the graph of f that is continuous except for the stated discontinuity. Discontinuities
0:01:23
5. Sketch the graph of f that is continuous except for the stated discontinuity. Discontinuous,
0:02:46
4. From the graph of g, state the intervals on which g is continuous.
0:04:08
3. From the graph of f, state the numbers at which f is discontinuous and explain why.
0:01:28
2. If f is continuous on (-∞,∞), what can you say about its graph?
0:00:43
1. Write an equation that expresses the fact that a function f is continuous at the number 4.
0:05:53
40. By comparing Definitions 2, 3, and 4, prove Theorem 2.3.1.
0:05:11
37. Prove that lim(x→a) √x=√a if a≻0. [Hint: Use |√x-√a|=|x-a|/(√x-√a).]
0:06:55
36. Prove that lim(x→2)1/x=1/2.
0:06:55
33. Verify that another possible choice of δ for showing that (lim)(x→3) x^2=9 in Example 4 is
1:05:26
Glencoe Algebra 1: Chapter 0 Part 1
0:04:41
28. Prove the statement using the ε, δ definition of a limit. (lim)(x→-6^)8√(6+x)=0
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