29 Jan
2004
29 Jan
'04
6:23 p.m.
about : inf ___ \ C(n)
---- = 2. /__ 4^n n=0
The limit is 2. C(n) is slightly lower than 4^n, while the principal term is 4^n, eventually the sum converge to 2, I am not a combinatorist or a wilf-zeilbergerologist but I can say that there is probably a variety of ways to show that. As a number theorist I would suggest, the series slowly increases so it means you can apply lots of tests for series on it validating the convergence of the sum. simon plouffe