Mathematics, 03.09.2019 23:30 chelsea1524
1- let a be a nonempty subset of r. suppose that for each n ∈ n, fn : a → r is a uniformly continuous function on a. prove that if (fn) converges uniformly to f : a → r, then f is uniformly continuous on a. (hint: mimic the proof given in class for the fact that uniform convergence preserves continuity.
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1- let a be a nonempty subset of r. suppose that for each n ∈ n, fn : a → r is a uniformly continuo...
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