One dictionary describes a continuous function as onewhose value at each point is

Chapter 1, Problem 34

(choose chapter or problem)

One dictionary describes a continuous function as “one whose value at each point is closely approached by its values at neighboring points.”

(a) How would you explain the meaning of the terms “neighboring points” and “closely approached” to a nonmathematician?

(b) Write a paragraph that explains why the dictionary definition is consistent with Definition 1.5.1.

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