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Converging almost surely proof

oyth94

Member
Jun 2, 2013
33
How do I prove that given Xn converges almost surely to X, that f(Xn) will converge almost surely to f(X)?
 

Fantini

"Read Euler, read Euler." - Laplace
MHB Math Helper
Feb 29, 2012
342
Re: converging almost surely proof

Hello oyth! Can you please clarify what is $X_n$, $X$ and what are the domain and codomain of the map $f$? :) Although intuition tells me that probably continuity guarantees what you want, perhaps we can weaken that condition.

Cheers! :D