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- Dec 1st 2009, 08:00 AMJohnLeee[Solved]Riemann Integration Question
http://i47.tinypic.com/4kb9fn.jpg

Solved.

Thanks - Dec 2nd 2009, 03:26 AMJohnLeee
Any help would be GREATLY appreciated.

Thanks - Dec 2nd 2009, 07:43 AMEnrique2
Ok, for any $\displaystyle \varepsilon>0$ you can find $\displaystyle r_0>0$ such that $\displaystyle \inf\{f(x):x\in B(x,r)\}\geq f(x_0)-\varepsilon$ and $\displaystyle \sup\{f(x):x\in B(x,r)\}\leq f(x_0)+\varepsilon$ for each $\displaystyle r<r_0$. This allows you to get upper and lower estimates of the limit as close to $\displaystyle f(x_0)$ as you want.