## 7.1. Riemann Integral

### Examples 7.1.11(b): Riemann Lemma

Suppose

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