Re: How to explain unexpected behaviour of Fibonacci[]?
- To: mathgroup at smc.vnet.net
- Subject: [mg70466] Re: How to explain unexpected behaviour of Fibonacci[]?
- From: dimmechan at yahoo.com
- Date: Tue, 17 Oct 2006 02:58:37 -0400 (EDT)
- References: <egvbbm$rrm$1@smc.vnet.net>
Dear Peter,
Try the following command
Limit[Log[FunctionExpand[Fibonacci[n]]]/n, n -> Infinity]
Log[(1/2)*(1 + Sqrt[5])]
N[%]
0.48121182505960347
Information[FunctionExpand]
"FunctionExpand[expr] tries to expand out special and certain other
functions in expr, when possible reducing compound arguments to simpler
ones. FunctionExpand[expr, assum] expands using assumptions."
Attributes[FunctionExpand] = {Protected}
Options[FunctionExpand] = {Assumptions :> $Assumptions}
Regards
Dimitris