Re: A bug of limit?
- To: mathgroup at smc.vnet.net
- Subject: [mg42388] Re: [mg42326] A bug of limit?
- From: Roberto Brambilla <rlbrambilla at cesi.it>
- Date: Thu, 3 Jul 2003 06:10:40 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
>Take the limit of (Sqrt(n^4 + n + 1) - n^2)*(n + 3)
> when n infinity, mathematica give the result is -1/2
> However, the correct answer should be 1/2
You can have the correct limit with :
Series[(Sqrt[n^4 + n + 1] - n^2)*(n + 3),{n,Infinity,3}]
1/2+ O[1/n]
I think that limits given by Limit[..] function are to be tested and series
expansion is the
easiest way.
Roberto Brambilla
CESI
Via Rubattino 54
20134 Milano
tel +39.02.2125.5875
fax +39.02.2125.5492
rlbrambilla at cesi.it