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[obm-l] Desigualdade
- To: obm-l@xxxxxxxxxxxxxx
- Subject: [obm-l] Desigualdade
- From: Danilo Nascimento <souza_danilo@xxxxxxxxxxxx>
- Date: Thu, 1 Sep 2005 10:48:21 -0300 (ART)
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1) Demonstrar que se a+b=1, entao a^4 + b^4 >= 1/ 8
2) Demonstrar que se |x|<1, para quaisquer valor inteiro de n>=2 se cumpre a desigualdade (1-x)^n + (1+x)^n < 2^n
3) Demonstrar a desigualdade sqrt(a+sqrt(a+sqrt(a+.......+sqrt(a)< (1+sqrt(4a+1))/2, a>0
Agradeço,
[]´s
Danilo
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