## Dominated convergence theorem

Hi
i am trying to solve a past exam paper question for an exam i have next week. Ive spent a while trying to do it but i dont think its right. The problem with this question is that most similar problems i have solved dont have X(w) explicitly in the question

Xn(w) = X(w) if |X(w)|> n or 0 if |X(w)|>= n

Show that Xn(w) tend to 0 as n tends to infinty

Deduce that

lim(as n tends to infinity) Integral of X(w) dP(w) = 0 wth integration limits {w:|X(w)|>n}

( sorry but dnt know how to use maths edit on these forums)