| Line 1: | Line 1: | ||
| − | <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 08:46, 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, $
