The Uniform Limit of Riemann Integrable Functions

We prove that if a sequence of Riemann integrable functions converges uniformly to a function f, then that function is also Riemann integrable. We also show that the limit of the integrals is the integral of the limit.
#mikethemathematician, #profdabkowski, #mikedabkowski

[@armanavagyan1876]

Thanks PROF 👍

[@mikethemathematician]

@armanavagyan1876 You are welcome!