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Mathematical Analysis Fundamentals by Agamirza Bashirov

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According to Example 5.9, it has a countably infinite number of discontinuities at rational numbers of [0,1]image (the exception is only x=0image). To show that fR(a,b)image note that S(f,P)=0image for every partition P of [0,1]. Therefore, S(f)=0 and it remains to ...

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