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| − | <math>\int_{\{|f_n|>M\}}|f_n|\leq\int_{(0,1)}|f_n-f|+\int_{\{|f_n|>M\}}|f| | + | <math>\int_{\{|f_n|>M\}}|f_n|\leq\int_{(0,1)}|f_n-f|+\int_{\{|f_n|>M\}}|f|\\ |
Since \int_{(0,1)}|f_n-f|\to0, | Since \int_{(0,1)}|f_n-f|\to0, | ||
</math> | </math> | ||
Revision as of 08:45, 2 July 2008
$ \int_{\{|f_n|>M\}}|f_n|\leq\int_{(0,1)}|f_n-f|+\int_{\{|f_n|>M\}}|f|\\ Since \int_{(0,1)}|f_n-f|\to0, $
