is it monotone incresing??

VijaKhara_at_gmail.com
Date: 02/27/05 

Date: 27 Feb 2005 05:24:21 -0800

Dear memebers

I am reading the proof of lebesgue dominanted convergence theorem and i
don't understand this point in the proof:

f (- L, h_n=nf{f_n}. so h_n is monotone increasing.

can you pleade explain why it is that???

in my thought, h is unnecessary to be monotone increasing or
decreasing.

Thank you very much.