阿摩線上測驗
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阿摩線上測驗
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6. (10 points) Let fn:[0,1] →R, 
, be a sequence of increasing functions, i.e., fn(x) ≤fn(y) for all 
and n
N. Assume that fn Sfnt1 and Ifn(x)I s 1 for all xe [0,1] and neN. Show that fn converges (pointwisely) to an increasing function.