Question: [Analysis Question] Let f: [0,1]-> R be a bounded function. Let Pn = {x0, x1,...,xn} be a uniform partition of [0,1] that is xj =

[Analysis Question]

Let f: [0,1]-> R be a bounded function. Let Pn = {x0, x1,...,xn} be a uniform partition of [0,1] that is xj = j. Is {L(Pn,f)} always monotone? Prove or find a counterexample.

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