Consider the graph of f(x) = x2 near x = 1. Find aninterval around x = 1 with the

Chapter 3, Problem 44

(choose chapter or problem)

Consider the graph of f(x) = x2 near x = 1. Find aninterval around x = 1 with the property that throughoutany smaller interval, the graph of f(x) = x2 never differsfrom its local linearization at x = 1 by more than0.1|x 1|.

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