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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- Mar 28th 2008, 12:31 PMUnenlightenedConverging 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... - Mar 28th 2008, 01:56 PMOpalg