If f be a measurable function. Assume that(adsbygoogle = window.adsbygoogle || []).push({});

lim λm({x|f(x)>λ}) exists and is finite as λ tends to infinite

Does this imply that ∫|f|dm is finite?

Here m is the Lebesgue measure in R

If not can anyone give me an example??

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# Measure theory

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