# Riemann Integration Question

• Dec 1st 2009, 08:00 AM
JohnLeee
[Solved]Riemann Integration Question
• Dec 2nd 2009, 03:26 AM
JohnLeee
Any help would be GREATLY appreciated.
Thanks
• Dec 2nd 2009, 07:43 AM
Enrique2
Ok, for any $\varepsilon>0$ you can find $r_0>0$ such that $\inf\{f(x):x\in B(x,r)\}\geq f(x_0)-\varepsilon$ and $\sup\{f(x):x\in B(x,r)\}\leq f(x_0)+\varepsilon$ for each $r. This allows you to get upper and lower estimates of the limit as close to $f(x_0)$ as you want.