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Nov 3, 2013 at 21:34 vote accept Sergii
Nov 3, 2013 at 21:00 comment added Jaap Eldering My example would work just as well: (by coincidence) I chose the function $f$ to converge to the smaller $f_1$ on the first half of the interval $[0,1]$.
Nov 3, 2013 at 1:31 vote accept Sergii
Nov 3, 2013 at 1:31
Nov 3, 2013 at 1:08 comment added Sergii What if I add the requirement for all functions in $F$ to be increasing?
Nov 3, 2013 at 0:35 history answered Jaap Eldering CC BY-SA 3.0