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Assumethatf ∈C[a,b]isacontinuousfunctionandP ={a=x0 <x1 <···<xn =b}isapartitionof[a,b]. Write precise definitions of the following. (a) The the upper...

  1. Assumethatf ∈C[a,b]isacontinuousfunctionandP ={a=x0 <x1 <···<xn =b}isapartitionof[a,b].

    Write precise definitions of the following.

    (a) The the upper sum U(f,P) and the Lower sum L(f,P) are defined as .........[5 points]
    (b) The lower Riemann Integral L(f) and the Upper Riemann Integral U(f) are defined as ..... [5 points]

    (c) The function f : [a, b] ?→ R is called Riemann Integrable when ........ [5 points]

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