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Re: Limits of Nested Expressions

• To: mathgroup at smc.vnet.net
• Subject: [mg80738] Re: [mg80718] Limits of Nested Expressions
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Thu, 30 Aug 2007 23:42:09 -0400 (EDT)
• Reply-to: hanlonr at cox.net

FixedPoint[N[Sqrt[5 + #], 50] &, 5]

2.7912878474779200032940235968640042444922282883840

x /. Solve[Sqrt[5 + x] == x, x][[1]]

(1/2)*(1 + Sqrt[21])

N[%, 50]

2.7912878474779200032940235968640042444922282883840

% == %%%

True


Bob Hanlon

---- Yaroslav Bulatov <yaroslavvb at gmail.com> wrote: 
> Is it possible to compute the following limit in Mathematica 6?
> Limit[Nest[Sqrt[5 + #]&, 5, n], n -> Infinity]
> 
> It used to be possible through Calculus`Limit package, which seems to
> be gone
> 
>