weierstrass
Post on 18-Nov-2015
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Weierstrass
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TeoremadeWeierstrass
Si f :A esunafuncincontinuay KA esuncompacto
x1 , x2K / {f x1=max {f x/xK}f x2=min{f x /xK}Demostracin:
K esuncompacto f K escompacto f K escerradoyacotado
=Supr {f x /xK}=Supr f K
=Inf {f x/xK}=Inf f K
Comoescerrado:
f K =f K f K =f K }
,f K x1 , x2K / {f x1=f x2=
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