Let E1, E2, Es,. be subsets of R and suppose that f is defined and is uniformly continuous on each of these sets. Prove that for every natural number n, f is uniformly continuous on the union U EL- k=1 However, give a counterexample showing that f need not be uniformly continuous on the union U EL. k=1

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.