3. Show that if a sequence of functions (fn) converges to a function f uniformly on A, then (fn) satisfies the Cauchy criterion (i.e., for
3. Show that if a sequence of functions (fn) converges to a function f uniformly on A, then (fn) satisfies the Cauchy criterion (i.e., for all E > 0, there exists N E N such that for all n > m > N, we have Ifn(x) - fm(x) |
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