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    Riemann Integration, Partitions, Upper and Lower Sums

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    1. Suppose f: [a,b]  is a function such that f(x)=0 for every x (a,b].
    a) Let &#61541; > 0. Choose n &#61646; &#61518; such that a + 1/n < b and |f(a)|/n <&#61541;.
    Let P ={a, a+1/n, b} &#61646; &#61520;([a,b]). Compute &#61525;(f,P) - &#61516;(f,P) and show that is less than &#61541;.

    b) Prove that a&#61682; b f = 0.

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    https://brainmass.com/math/integrals/riemann-integration-partitions-upper-and-lower-sums-43757

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    Riemann Integration, Partitions, Upper and Lower Sums are investigated.

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