## 7.3. Measures

### Example 7.3.1(g): Oddities of Riemann Integral

There is a sequence of Riemann integrable functions

*f*that converges to another Riemann integrable function_{n}*f*but the corresponding sequence of Riemann integrals of*f*does not converge to the integral of_{n}*f*.We will talk about sequences of functions, convergence, and the like in the next chapter, but it seems desirable that if a sequnce of functions converges then the corresponding integrals should converge as well.

If you want to jump ahead to see an example of such a sequence, please click here.