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11 Nov 2019
Let f(x) be a continuous function on an interval [a,b]. Let P be a partition of [a, b] into n subintervals. where subinterval k has width delta xk and contains a point ck. The corresponding Riemann sun of f on [a, b] is xk = 1 f(c)delta x2. give an example, including a graph, to show that the limit of such Riemann sum as n approaches infinity is not necessarily ba f(x)dx.
Let f(x) be a continuous function on an interval [a,b]. Let P be a partition of [a, b] into n subintervals. where subinterval k has width delta xk and contains a point ck. The corresponding Riemann sun of f on [a, b] is xk = 1 f(c)delta x2. give an example, including a graph, to show that the limit of such Riemann sum as n approaches infinity is not necessarily ba f(x)dx.