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Here is my question:

Suppose a measureable space [tex] (S,\mathcal{S},\mu) [/tex] with [tex] \mu(S) < \infty [/tex] and [tex] f : S \mapsto [0,\infty) [/tex], this is not yet sufficient to ensure [tex] \int_{S} f d \mu < \infty [/tex].

Am I correct?

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# Lebesgue integration

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