[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]
[obm-l] Descontinuidade
- To: obm-l@xxxxxxxxxxxxxx
- Subject: [obm-l] Descontinuidade
- From: "Kleber Bastos" <kleber09@xxxxxxxxx>
- Date: Fri, 6 Jul 2007 00:16:57 -0300
- DKIM-Signature: a=rsa-sha1; c=relaxed/relaxed; d=gmail.com; s=beta; h=domainkey-signature:received:received:message-id:date:from:to:subject:mime-version:content-type; b=SLfsnwgxMOO7IZht7ANiTQQ6PV1I08s8DFuywBZPmN51QXXQKuQRKCF8MnfCtlB4H9tgpe6fwBK7QAWB9kD56xrZ/vo5UTRji1LQiL7CRRaJgG5EatdSCH47wqNp8mSsx7Of/BZR8T1/VNYDFdJTplbsCwduzKPLEu3LIcAVssk=
- DomainKey-Signature: a=rsa-sha1; c=nofws; d=gmail.com; s=beta; h=received:message-id:date:from:to:subject:mime-version:content-type; b=iS54On3iLDQniIta+F3vykVzl4sYMZhAY5Os+F0DVG7vdZ/zixCzpVZMmpZS2WEoYm1ulrvdE4gL4B3mD8EGk5fk6lzzRw7aJ8wbLVoTCB4KOUMo141nSoXBx3uUTv9qck/vUCv1qKyW9k/79pnXN3n/JXcayHnyD32zLJXMTZI=
- Reply-To: obm-l@xxxxxxxxxxxxxx
- Sender: owner-obm-l@xxxxxxxxxxxxxx
Seja f: ( 0, infinito )-> R ( reais )
f(x) = 1/n se x=m/n , m,n E N ( naturais ) e o mdc ( m,n) = 1
0 se x E R\Q
Mostrar que f � cont�nua quando x � irracional e descont�nua caso x E Q.
eu pensei nisso :
(i) a E R\Q => f(0)=0
seja a_n -> 0, ent�o
| f(a_n) - f(a) | = | f(a_n) = 0 < epson
|f(a_n)| = 1/n < epson ( n�o estou conseguindo analisar a senten�a com os numeros primos entre si, e provar que � verdadeira , parei por aqui , podem me dar uma ajuda para a solu��o do problema acima mensinonado ?? ?? )
--
Kleber B. Bastos