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[SPAM] Re: [obm-l] soma de série
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Essa é, na verdade, a série harmônica, que diverge. Vc pode demonstrar usando integrais ou usando a desigualdade "1+1/2+...+1/(2^n-1)>n/2". Vc encontra essas demonstrações no livro de Análise do Elon.
Abraço.
MauZ <mauz.matematica@xxxxxxxxx> escreveu:
mostrar que 1+1/2+1/3+...+1/n não é inteiro pra qquer N>1.
Obrigado!
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<div> Essa é, na verdade, a série harmônica, que diverge. Vc pode demonstrar usando integrais ou usando a desigualdade "1+1/2+...+1/(2^n-1)>n/2". Vc encontra essas demonstrações no livro de Análise do Elon.</div> <div> </div> <div> Abraço.<BR><BR><B><I>MauZ <mauz.matematica@xxxxxxxxx></I></B> escreveu:</div> <BLOCKQUOTE class=replbq style="PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #1010ff 2px solid">mostrar que 1+1/2+1/3+...+1/n não é inteiro pra qquer N>1.<BR><BR>Obrigado!<BR></BLOCKQUOTE><BR><p> 
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