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For each $n ≥ 1$, let $ f_n$ be a monotonic increasing real valued function on [$0, 1$] such that the sequence of functions {$f_n$} converges pointwise to the function $f ≡ 0$. Pick out the true statements from the following:
a.$ f_n$ converges to $ f$ uniformly.
b. If the functions $f_n$ are also non-negative, then $f_n$ must be continuous for sufficiently large $n$.


how would i able to solve this problem?can somebody help me.

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    Does "monotonic increasing" mean *nondecreasing* or *strictly increasing*?2012-12-31

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