On Fri, 04 Oct 2013 00:17:18 -0400, wilson <firstname.lastname@example.org> wrote:
>On Thu, 03 Oct 2013 21:05:50 -0400, stony <email@example.com> wrote: > >> Hi, I come here once in a while to get some confusions cleared up or >> get hints on how to solve something. I teach my daughter who is in >> middle school and we come across some problems that stump us. >> Any hints would be appreciate. >> >> The one below, I am missing something in terms of simplifying or some >> series or something. Basically, I have tried combining all the terms >> after expanding it and could not got to a solution that would simplify >> it to prove. It stays in a the expanded form pretty much. >> >> Prove that: >> >> ((1/(a^2+1)) + ((1/(b^2+1)) + ((1/(c^2+1)) <= 1/2 >> >> <= - less than or equal to 1/2 >> >> I have grouped them together in several ways, but not come close to >> simplifying the expanded equation. I thought I could be missing a >> simple clue, but cannot come up with it for the past 2 hours. Its not >> homework, but practice which she could not do it and I tried it but >> have not been able to simplify. Thannks for the help. >> >> s thanks, wilson. do you see any simplification to the expanded equation. I keep thinking that there may be a series simplication that could yield the result, only that I don't know of any. thanks again.