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December 1st, 2016, 09:12 AM  #1 
Newbie Joined: Dec 2016 From: france Posts: 3 Thanks: 0  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 10:28 PM. 