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Taylorpolynomier Funktion af flere variable

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Vurdering <strong>af</strong> fejlen ved Taylors formel II<br />

I Lad f (x) for alle x være givet ved<br />

f (x) =<br />

Z x<br />

0<br />

(1 + t) cos t 3 dt<br />

<strong>Taylorpolynomier</strong>.<br />

<strong>Funktion</strong> <strong>af</strong> ‡ere<br />

<strong>variable</strong><br />

Preben Alsholm<br />

<strong>Taylorpolynomier</strong><br />

De…nition <strong>af</strong><br />

Taylorpolynomium<br />

Udledning <strong>af</strong> formlen<br />

for Taylorpolynomiet<br />

Formlen for<br />

Taylorpolynomiet<br />

Eksempel 4.8.2 i<br />

Adams<br />

<strong>Funktion</strong> givet ved<br />

simpel forskrift<br />

<strong>Funktion</strong> givet ved<br />

di¤erentialligning<br />

Taylors formel med<br />

Lagrange’s restled<br />

Vurdering <strong>af</strong> fejlen<br />

ved Taylors formel I<br />

Vurdering <strong>af</strong> fejlen<br />

ved Taylors formel II<br />

Store O-notationen<br />

<strong>Funktion</strong> <strong>af</strong> ‡ere<br />

<strong>variable</strong>

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