Real Analysis : Sequential Criterion for Nonuniform Continuity

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Prove that if A function f:A->R fails to be uniformly continous on A if and only if there exists a particular e>0(epsilon) and two sequences (x_n) and (y_n) in A satisfying absolute value of x_n - y_n -->0 but absolute value of f(x_n)-f(y_n)>=e

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(sequential criterion for nonuniform continuity)
prove that if A function f:A->R fails to be uniformly continous ...

Solution Summary

Sequential Criterion for Nonuniform Continuity is investigated.

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