Let A ~ R and suppose that 1 : A ~ R has the following .property: for each > 0 there

Chapter 5, Problem 13

(choose chapter or problem)

Let A ~ R and suppose that 1 : A ~ R has the following .property: for each > 0 there exists a function g8 :A~ R such that g6 is uniformly continuous on A and 1/(x)- gt(x)l < e for all x e A. Prove that I is uniformly continuous on A.

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