6 Dec
2011
6 Dec
'11
9:38 p.m.
On Tue, Dec 6, 2011 at 8:25 PM, Robert Smith <quadricode@gmail.com> wrote:
EXAMPLE 1:
x/(h-x^2)
As what approaches what? L'Hop is only usable if in the limit you get 0/0. I have the same question about your other examples. My resolution to this whole thing is to wait to talk about L'Hop until after I've got power series, and then I make the point that in the limit you have only the first nonzero term of the relevant series. Then you can see why this is equivalent to L'Hop, but by using a principle that generalizes a lot more. --Joshua Zucker