Limit of Infinitely Nested Expression
- To: mathgroup at smc.vnet.net
- Subject: [mg71430] Limit of Infinitely Nested Expression
- From: "dimitris" <dimmechan at yahoo.com>
- Date: Sat, 18 Nov 2006 04:41:01 -0500 (EST)
$Version
"5.2 for Microsoft Windows (June 20, 2005)"
Why Limit fails to give answer below?
Limit[Nest[Sqrt[5 + #1] & , 5, n], n -> Infinity]
Nest::intnm : "Non - negative machine - size integer expected at
position 3 in ` ` ".
Limit[Nest[Sqrt[5 + #1] & , 5, n], n -> Infinity]
f[n_] := N[Nest[Sqrt[5 + #1] & , 5, n], 40]
ListPlot[f /@ Range[2, 20], Frame -> True, Axes -> False, PlotStyle ->
{Blue, PointSize[0.02]}, PlotRange -> {2.7, 2.9}]
Even the command
Limit[f[n], n -> Infinity
as well
Needs["NumericalMath`NLimit`"]
NLimit[f[n], n -> Infinity]
also fails.
Thanks in advance for any help.