Mathematics, 28.12.2020 04:10 chandranewlon
Show that a sequence of real-valued functions {fn}, defined
on complete metric space X, is uniformly convergent if and
only if for every Ξ΅ > 0 there exists an integer N such that
m, n β₯ N , t β X
implies
|fn (t) β fm (t)| β€ Ξ΅ .
(This is known as the Cauchy condition.)
Answers: 1
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Show that a sequence of real-valued functions {fn}, defined
on complete metric space X, is uniforml...
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