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 > >