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MathGroup Archive 2004

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Wrong Limit

  • To: mathgroup at smc.vnet.net
  • Subject: [mg47775] Wrong Limit
  • From: Ray <rayfg at optonline.net>
  • Date: Mon, 26 Apr 2004 02:41:32 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

In Mathematica 4.2, if s[n_]:= Sum[1/k^p,{k,1,n}], then the output for 
Limit[s[n],n->Infinity] was Limit[HarmonicNumber[n,p],n->Infinity]. 
Under 5.0.1, the answer to Limit[s[n],n->Infinity] is given incorrectly 
as Infinity for odd p and the actual numerical value for even p. Anyone 
know why Mathematica now gives an incorrect result here for odd p. Thanks.


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