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[obm-l] analise (derivada)
- To: obm-l@xxxxxxxxxxxxxx
- Subject: [obm-l] analise (derivada)
- From: Felipe Nobili <felipenobili@xxxxxxxxx>
- Date: Thu, 2 Mar 2006 09:51:15 -0800 (PST)
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- Sender: owner-obm-l@xxxxxxxxxxxxxx
Seja f: I->R contínua no ponto a interior ao intervalo
I. Suponha que existe L real tal que
Lim [f(Yn) - f(Xn)]/[Yn-Xn] = L para todo par de
sequencias {Xn}, {Yn} em I com Xn < a < Yn e Lim
Xn = Lim Yn = a. Prove que f é derivavel no ponto a e
f'(a)=L.
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