Let (fn) be a sequence of measurable functions that converges pointwise to a function f. Show that f is measurable.

It seems to me that this should be really easy - but I can't find the proof anywhere...

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- March 28th 2008, 11:31 AMUnenlightenedConverging measurable sequence
Let (fn) be a sequence of measurable functions that converges pointwise to a function f. Show that f is measurable.

It seems to me that this should be really easy - but I can't find the proof anywhere... - March 28th 2008, 12:56 PMOpalg