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Re: [obm-l] Desigualdade
- To: obm-l@xxxxxxxxxxxxxx
- Subject: Re: [obm-l] Desigualdade
- From: Rafael <rfa1989@xxxxxxxxx>
- Date: Mon, 20 Aug 2007 21:52:01 -0300
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Tem certeza que é para todo a e b real nao nulo?porque se a for 1 e b for -1, por exemplo, ja nao da certo.Se o enunciado restringir a demosntracao para a,b reais nao nulos epositivos é possivel aplicar a desigualdade das medias e resolver:a/b+ b/a >= 2 * sqrt( (a/b)*(b/a) )a/b + b/a >= 2
On 8/20/07, Bruna Carvalho <bruna.carvalho.pink@gmail.com> wrote:> Demonstrar a seguinte desilgualdade> a/b + b/a ≥ 2, para todo a e b real não nulo.>> --> Bjos,> Bruna>
-- ----------------------------- RAFAEL
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