Being new to continuity, how do I use the definition of continuity to show that

f(x) = sqrt(x) is continuous on the domain of f?

Any help would be very appreciated!

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- Apr 3rd 2012, 07:50 PMKingdu8457Continuity of f(x)
Being new to continuity, how do I use the definition of continuity to show that

f(x) = sqrt(x) is continuous on the domain of f?

Any help would be very appreciated! - Apr 3rd 2012, 11:41 PMprincepsRe: Continuity of f(x)
- Apr 4th 2012, 07:00 AMSylvia104Re: Continuity of f(x)
Recap the definition of continuity: The function is said to be continuous at the point iff for all there exists such that for all and is said to be continuous on iff it is continuous at every point in

For

First show that is continuous at Given take Then for all

Now show that is continuous at Given take Then