(adsbygoogle = window.adsbygoogle || []).push({}); Let f:[a,b]->R be bounded. Further, let it be continuous on [a,b] except at points a1, a2, ...,an,... such that a1>a2>a3>...>an>...> a where an converges to a. Prove that f is Riemann integrable on [a,b].

It suffices to prove that f is integrable on [a,a1) (I've worked out that part). And that's what I'm having trouble with.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Prove that this function is Riemann integrable

**Physics Forums | Science Articles, Homework Help, Discussion**