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[obm-l] (ITA - 97) FUN��ES - quest�o 2
- To: OBM <obm-l@xxxxxxxxxxxxxx>
- Subject: [obm-l] (ITA - 97) FUN��ES - quest�o 2
- From: Zeca Mattos <zecamattoscuelho@xxxxxxxxxxxx>
- Date: Tue, 31 Oct 2006 20:52:42 +0000 (GMT)
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Seja n E N com n > 1 fixado. Considere o conjunto:
A = {p/q: p,q E Z e 0 < q < n}
Definimos f:R->R por f(x) = [cos(n!pix)]^2n
Se f(A) denota a imagem do conjunto A pela fun��o f, ent�o:
Resp.: F(A) = {1}
Agrade�o antecipadamente qualquer ajuda,
Zeca
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