Hey guys,
I have a problem understanding the basis continuity proof with the delta and epsilon notation. In my textbook I have an example in which I have to proof that x^2 is continous. I understand everything except for one thing. In my textbook it says that the final value of delta must be equal to delta = min( 0.5 , 0.5 (epsilon) / (2|a| + 1). Why isn't the answer just delta = min( 1 , (epsilon) / (2|a| + 1)?
I have a problem understanding the basis continuity proof with the delta and epsilon notation. In my textbook I have an example in which I have to proof that x^2 is continous. I understand everything except for one thing. In my textbook it says that the final value of delta must be equal to delta = min( 0.5 , 0.5 (epsilon) / (2|a| + 1). Why isn't the answer just delta = min( 1 , (epsilon) / (2|a| + 1)?