Examples 7.1.11(b): Riemann Lemma

Suppose f is Riemann integrable over an interval [-a, a] and { Pn } is a sequence of partitions whose mesh converges to zero. Show that for any Riemann sum we have
lim R(f, Pn) = f(x) dx
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Will be proved later.


Interactive Real Analysis, ver. 1.9.5
(c) 1994-2007, Bert G. Wachsmuth
Page last modified: Mar 28, 2007