(3) Let (fn)neN be a sequence in C(0, 1) and (a)keN a sequence of positive numbers, such that the series E1 9k a converges and such that ISk 1 Sell S ar for all keN Show that Snta( ) fn(z) S fnsk fall sEas jan for all n, k eN and z (0, 1) Use this to show that C((0, 1 ) is complete (3) Let (fn)neN...

Completeness of C01 with sup norm assume that eo1 with st ...

(3) Let (fn)neN be a sequence in C(0, 1) and (a)keN a sequence of positive numbers,...

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Calculus Early Transcendentals

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(3) Let (fn)neN be a sequence in C(0, 1) and (a)keN a sequence of positive numbers,...

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