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\begin_body

\begin_layout Title
List s formulami za 2.
 kolokvij Analize 1
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Anton Luka Šijanec
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today
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Izraz
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, 
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 konveksna na 
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 konkavna na 
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\[
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\[
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\[
f\text{ zv.+odv.@ }\left[a,b\right]\Rightarrow\exists\xi\in\left[a,b\right]\ni:f\left(b\right)-f\left(a\right)=f'\left(\xi\right)\left(b-a\right)
\]

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\[
T_{f,a,n}\left(x\right)=\sum_{k=0}^{n}\frac{f^{\left(k\right)}\left(a\right)}{k!}\left(x-a\right)^{k}
\]

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 na odprtem 
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\[
\exists M>0\forall x\in I:\left|f^{\left(n+1\right)}\right|\leq M\Rightarrow R_{f,a,n}\left(x\right)=\frac{M}{\left(n+1\right)!}\left|x-a\right|^{n+1}
\]

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\[
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