Yes I know, but it illurstates the point nicely.

(though the Stone-Weiestrauss theorem applies, I don't think this is adequate
to do the analysis with polynomial approximations instead, though it would be
nice if it did).

RonL

__________________
Truth does not change because it is, or is not, believed by a majority of the people.

Giordano Bruno

The only answer is the trivial answer .
Follow, ecMathGeek's approach and arrive at:

Hence, is the only possible constant.

---
This problem was taken from my math book, which said it appeared as a problem in the 1990 Putnam. The problem I posed was a variation of that problem, not exactly the same.

__________________

To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.


"Democracy has proved only that the best way to gain power
over people is to assure the people that they are ruling
themselves. Once they believe that, they make wonderfully
submissive slaves." - Joseph Sobran