hi all,
(I tried to send this to rwg@tc.spnet.com but it bounced. Bill, where are you?)
f[x_] := Sum[(-1)^(n-j) Binomial[j,n-j] x^(n-j),{j,1,n}] / Sum[(-1)^(n+2-j) Binomial[j,n+2-j] x^(n+2-j),{j,1,n+2}] produces a well known Generating Function for the limit n->Infinity.
Q: What is needed to force Limit[f[x], n->Infinity] into submission? it equals (1-2x - Sqrt[1 - 4*x]) / (2 x^2)
Mathematica's package Calculus`Limit` doesn't feel like tackling it. Should it?
Wouter.
=============================== This email is confidential and intended solely for the use of the individual to whom it is addressed. If you are not the intended recipient, be advised that you have received this email in error and that any use, dissemination, forwarding, printing, or copying of this email is strictly prohibited. You are explicitly requested to notify the sender of this email that the intended recipient was not reached.