We say ƒ is uniformly continuous on [a, b] if given any
Chapter 5, Problem 87E(choose chapter or problem)
We say ƒ is uniformly continuous on [a, b] if given any there is a ? > 0 such that if x1, x2, are in [a, b] and |x1 - x2| < ?, then It can be shown that a continuous function on [a, b] is uniformly continuous. Use this and the figure for Exercise 86 to show that if ƒ is continuous and is given, it is possible to make by making the largest of the sufficiently small.
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