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Mathematics
Calculus
Riemann integrability of functions with countably infinitely many dis-
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[QUOTE="Eclair_de_XII, post: 6558583, member: 538457"] I'm sorry for not clarifying in the original post. I was asking for feedback on my proof. And if possible, I want to ask if the fourth paragraph where I define an alias for the supremum of ##G## sounds too informal. This proof is for functions that takes on non-negative values. But if I choose to extend the family of functions to which this theorem might apply, I would replace ##\sup f## with ##|\sup f - \inf f|##. It's essential to proving that ##\alpha## as declared in the fourth paragraph exists. [/QUOTE]
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Riemann integrability of functions with countably infinitely many dis-
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