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Re: Limits of Nested Expressions

• To: mathgroup at smc.vnet.net
• Subject: [mg80733] Re: Limits of Nested Expressions
• From: Peter Breitfeld <phbrf at t-online.de>
• Date: Thu, 30 Aug 2007 23:39:34 -0400 (EDT)
• References: <fb5oai$8mv$1@smc.twtelecom.net>

Yaroslav Bulatov schrieb:
> 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
>
>

If you want a numeric result, you may consider FixedPoint:

FixedPoint[Sqrt[5+#]&,5.0]  ------> 2.79129

Gruss Peter
-- 
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Peter Breitfeld, Bad Saulgau, Germany -- http://www.pBreitfeld.de