Port563
Posts:
830
Registered:
12/15/13


Re: 1.39  What exactly is the Mean value Theorem?
Posted:
Jun 19, 2014 10:57 AM


"Dirk Van de moortel" <dirkvandemoortel@hotspam.not> wrote... > John Gabriel <thenewcalculus@gmail.com> wrote:
[blathering removed]
> Take the function f(x) = 1/x.
Dirk, as you know you are spoiled for choice here. The clunkhead might think  who knows  you've found the only function showing up his system for what it is.
> See if you can prove continuity at x=1 with *your* equivalence: > For all epsilon > 0, Exist delta > 0, such that for all x: > x1 < delta <==> 1/x1 < epsilon > > Take epsilon = 2. > Give me that delta,and I'll give you an x that does > NOT satisfy the equivalence.
When there are this many holes, there is no point trying to thread together what material there is that is cogent.
It's a bit like trying to cover a plane with rationals. (:

