Question

is the function x to any power uniformly continuous?

Answer 1

so no matter what real number n I choose I can find a delta solely depending on epsilon where 'abs(x-c)<delta' implies 'abs(f(x)-f(c))<epsilon'?

Answer 2

You're confusing the definitions of continuity and a limit.

Answer 3

no I am not. limit is f(X)-L, not f(c)

Answer 4

Ah, you're using the Weierstrass definition...

Answer 5

yea

Answer 6

I just need to know what restrictions there are so that I know not to bother finding a proper delta... if I know x^n is unif. cont for all real numbers then I will have to work harder if asked a question about x^(1/4) for example.... thanks