## Examples 7.4.19(c): The General Lebesgue Integral

Suppose that

*f*is an integrable function over a set*, and take any***E***> 0*. Show that there exists a*continuous*function*s*such that_{E}| f - s | dx <

Suppose that *f* is an integrable function over a set **E**,
and take any * > 0*. Show that
there exists a *continuous* function *s* such that

_{E}| f - s | dx <