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MathGroup Archive 2006

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Re: How to explain unexpected behaviour of Fibonacci[]?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg70470] Re: How to explain unexpected behaviour of Fibonacci[]?
  • From: dimmechan at yahoo.com
  • Date: Tue, 17 Oct 2006 02:58:45 -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


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