Services & ResourcesWolfram ForumsMathGroup Archive

[Date Index] [Thread Index] [Author Index]

limits

• To: mathgroup at smc.vnet.net
• Subject: [mg52309] limits
• From: homshi at walla.com (homshi)
• Date: Mon, 22 Nov 2004 01:28:38 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

hello all,
Would you please help me in any of these limits:
Prove:
lim(1^p+2^p+3^p+...+n^p)/n^(p+1)= 1/(p+1)
n->infinity

lim(1^p+2^p+3^p+...+n^p- n/(1+p))= 0.5
n->infinity

lim(1/n)(1+1/2+1/3+...+1/n)=0
n->infinity

• Follow-Ups:
  • Re: limits
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>