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- Thread starter Shaji D R
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I need help. I forgot to indicate that the function is measurable also.

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WWGD

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Trick is usually to describe limit in terms of unions, intersections of measurable sets. I mean this in order to show that the limit is measurable. for the rest, partition your domain in "enough" (compact) pieces for the vertical intervals [n, n+1). I think I remember Wikipedia had a proof.

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mathwonk

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