Use the sequential criterion for the absence of uniform continuity to show that the function f(0,...

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Question

Use the sequential criterion for the absence of uniform continuity to show that the function f(0, 1) - 1 given by f(x) = 1/-x

Theorem 4.4.5 (Sequential Criterion for Absence of Uniform Conti- nuity). A function /: A → R fails to be uniformly continuou

Answer 1

Answer #1

. Given Consider that, f(x12 1 1 1 1 1 RE (0,1) the sequences Xuz 1- 4 Yu an E (0,11 and int(01) tuent in, h EN Then Also, In

Answer 2

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