Originally Posted by
mr fantastic Yes ladies and gentlemen (I make no unjustified assumptions here). All of this is what I thought too, but didn't quite feel confident enough with my analysis to suggest it. I was interested to see what others thought before jumping in. A combination of comparison and then the definition would seem to satisfy the boundary conditions.
I quite agree with the puzzle of why his prof won't let the theorem that
a sequence of real numbers converges if and only if it is a Cauchy Sequence
be used. Using this theorem was my first thought.
Unless his prof wants them to practice the whole epsilon thing .....
I suspect the whole metric thing raised by TPH is probably a red herring in this case ......