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December 1st, 2016, 10:12 AM   #1
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From: france

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mesure02

Hello everybody,
please help me on this exercise
soit (X,A,µ) espace mesured and f:X$\rightarrow$R+
soit function mesurable.
For all n $\geqslant$ 1, let fn be the function defined ∀x ∈ X by fn(x) = min (f(x), n).
Show that
lim $\hspace{27px}$ ʃ fndµ = ʃ fdµ
n →+∞ x$\hspace{45px}$ x

Last edited by skipjack; December 1st, 2016 at 11:28 PM.
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