22  Continuity and smoothness

\[ \newcommand{\dnorm}{\text{dnorm}} \newcommand{\pnorm}{\text{pnorm}} \newcommand{\recip}{\text{recip}} \]

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.

question id: smooth-texture

Reading question 22.2 What notation is used to convey the “degree” of smoothness of a function? Can different functions have the same smoothness?

question id: smooth-notation

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