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Thread: Riemann Integration Question

  1. December 1st 2009, 08:00 AM #1
    JohnLeee
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    [Solved]Riemann Integration Question



    Solved.
    Thanks
    Last edited by JohnLeee; December 2nd 2009 at 06:39 AM.
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  2. December 2nd 2009, 03:26 AM #2
    JohnLeee
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    Any help would be GREATLY appreciated.
    Thanks
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  3. December 2nd 2009, 07:43 AM #3
    Enrique2
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    Ok, for any \varepsilon>0 you can find r_0>0 such that \inf\{f(x):x\in B(x,r)\}\geq f(x_0)-\varepsilon and \sup\{f(x):x\in B(x,r)\}\leq f(x_0)+\varepsilon for each r<r_0. This allows you to get upper and lower estimates of the limit as close to f(x_0) as you want.
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