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− | <math>\int_{\{|f_n|>M\}}|f_n|\leq\int_{(0,1)}|f_n-f|+\int_{\{|f_n|>M\}}</math> | + | <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, | ||
+ | </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, $