1. (a) Prove that xln -+ 0 uniformly, as n -+ 00, on any closed interval [a,...
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1.
(a) Prove that xln -+ 0 uniformly, as n -+ 00, on any closed interval [a, b].
(b) Prove that I/(nx) -+ 0 pointwise but not uniformly on (0,1) as n -+ 00.
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