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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| | ||
| − | \ | + | \par |
Since \int_{(0,1)}|f_n-f|\to0, | Since \int_{(0,1)}|f_n-f|\to0, | ||
</math> | </math> | ||
Revision as of 08:48, 2 July 2008
$ \int_{\{|f_n|>M\}}|f_n|\leq\int_{(0,1)}|f_n-f|+\int_{\{|f_n|>M\}}|f| \par Since \int_{(0,1)}|f_n-f|\to0, $
