Recent content by GVAR717

  1. G

    If supremum=infimum, is f Riemann integrable?

    OMG. I just realized that I was making this problem harder than it is. I can just say that [tex]\underline{S}(f, P^*)-[tex]\overline{S}(f, P^*)=0, which is less than epsilon.
  2. G

    If supremum=infimum, is f Riemann integrable?

    It's the first one with the m's. By the way, how do you get the math symbols? I don't have Latex.
  3. G

    If supremum=infimum, is f Riemann integrable?

    No, I am trying to use a theorem that says a function is Riemann integrable if the supremum equals the infimimum: S(f)=S(f)
  4. G

    If supremum=infimum, is f Riemann integrable?

    This is my first time posting & I am not familiar with how to get all the correct math symbols or how to use Latex, so I did the best I could. Homework Statement Suppose f is bounded on [a,b] and there is a partition P* of [a,b] for which S(f,P*)=S(f,P*). Is f Riemann integrable on...
  5. G

    Passing the limit through the derivative of a differentiable function

    I did what snipez90 said, but I got stuck. I know that it is necessary to apply the Mean Value Theorem, but I don't really understand how. Maybe you can figure out how the MVT can be applied.
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    Show f(x) = { x/2 if x rational , x if x irrational is not differentiable at 0

    I think HallsofIvy's process is easier but it seems that either method works. I think the necessary element is that 1/2 does not equal 1.