- #1
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There's a theorem in my real analysis textbook that says
A function f is Riemann-integrable iff the set of its points of discontinuity is of measure zero.But take say f(x)=1/x. It is only discontinuous as x=0, but it's not integrable on (-e,e). :grumpy:
A function f is Riemann-integrable iff the set of its points of discontinuity is of measure zero.But take say f(x)=1/x. It is only discontinuous as x=0, but it's not integrable on (-e,e). :grumpy: