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[SPAM] [obm-l] Espaços normados e diferencibilidade



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Como resolvo o seguinte exerc=EDcio:

Defina diferenciabilidade em espa=E7os normados quaisquer. Dados U contido =
em E aberto e=20
f: U -> F diferenci=E1vel no ponto x pertencente a U, mostre que a continui=
dade de f no ponto x =E9 equivalente a continuidade da aplica=E7=E3o linear=
 f ' (x): E -> F.
=0A=0A=0A      Novos endere=E7os, o Yahoo! que voc=EA conhece. Crie um emai=
l novo com a sua cara @ymail.com ou @rocketmail.com.=0Ahttp://br.new.mail.y=
ahoo.com/addresses
--0-667540524-1214783829=:48311
Content-Type: text/html; charset=iso-8859-1
Content-Transfer-Encoding: quoted-printable

<table cellspacing=3D'0' cellpadding=3D'0' border=3D'0' ><tr><td valign=3D'=
top' style=3D'font: inherit;'>Como resolvo o seguinte exerc=EDcio:<br><br>D=
efina diferenciabilidade em espa=E7os normados quaisquer. Dados U contido e=
m E aberto e <br>f: U -&gt; F diferenci=E1vel no ponto x pertencente a U, m=
ostre que a continuidade de f no ponto x =E9 equivalente a continuidade da =
aplica=E7=E3o linear f ' (x): E -&gt; F.<br></td></tr></table><br>=0A=0A=0A=
      <hr size=3D1>Novos endere=E7os, o Yahoo! que voc=EA conhece. <a href=
=3D"http://br.rd.yahoo.com/mail/taglines/mail/*http://br.new.mail.yahoo.com=
/addresses">Crie um email novo</a> com a sua cara @ymail.com ou @rocketmail=
.com.
--0-667540524-1214783829=:48311--
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