22 Continuity and smoothness
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Reading questions
Reading question 22.1 In an everyday sense, “smoothness” refers to the texture of a thing and whether a finger can be moved along the surface without disruption, obstruction, or friction. The calculus sense of smoothness is very different. Explain how.
Reading question 22.2 What notation is used to convey the “degree” of smoothness of a function? Can different functions have the same smoothness?
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