- #1

quasar987

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**1. Prove that [itex] f(x) = \frac{x^2}{1+(x- 1)^2}[/itex] is uniformly continuous on [itex]\mathbb{R}[/itex]**

## Homework Equations

:**[itex]**x^2 - y^2 = (x+y)(x-y)

**[/itex]**[/B]

**3. After using the above identity, I am left with**

**[tex]|f(x)-f(y)| =****|x-y|**\left| \frac{x+y-xy}{**(1+(x- 1)^2)(**}\right| [/tex]**1+(y- 1)^2**)**and I do not know how to make progress.**

**edit: oops, looks like I accidentally hit the "post" button while I was trying to fix my last equation. Why the heck is it not showing right?!**