Prove that the function f(x) = 1/2+x is continuous at x=0.

I have attached the solution. My question is why are they choosing between minimum of epsilon and 1 for the value of delta epsilon?

Any help would be appreciated.

Thanks

- May 12th 2009, 12:50 PMali_al89Proof of Continunity-why are taken min(1,e) to choose delta epsilon
Prove that the function f(x) = 1/2+x is continuous at x=0.

I have attached the solution. My question is why are they choosing between minimum of epsilon and 1 for the value of delta epsilon?

Any help would be appreciated.

Thanks - May 12th 2009, 01:18 PMPlato
The reason is contained in the next line after the part you underlined.

It makes the setup happen.