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#LyX 2.4 created this file. For more info see https://www.lyx.org/
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\begin_body
\begin_layout Title
Rešen tretji izpit teorije Analize 1 —
IŠRM 2023/24
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\begin_layout Abstract
Izpit je potekal v petek,
30.
avgusta 2024.
Nosilec predmeta je
\noun on
Oliver Dragičević
\noun default
.
Naloge in rešitve sem po spominu spisal
\noun on
Anton Luka Šijanec
\noun default
.
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\begin_layout Enumerate
\begin_inset Formula $\left[15\right]$
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\begin_inset Newline newline
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Podaj natančne definicije naslednjih pojmov:
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\begin_deeper
\begin_layout Enumerate
limita zaporedja,
stekališče zaporedja
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\begin_layout Enumerate
vsota (neskončne) konvergentne vrste
\end_layout
\begin_layout Enumerate
Cauchyjev pogoj za zaporedja
\end_layout
\begin_layout Enumerate
odprte,
zaprte,
omejene,
kompaktne množice v
\begin_inset Formula $\mathbb{R}$
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\begin_layout Enumerate
limita funkcije v dani točki
\end_layout
\begin_layout Enumerate
zveznost funkcije
\end_layout
\begin_layout Enumerate
odvedljivost funkcije
\end_layout
\begin_layout Enumerate
določeni integral realne funkcije na zaprtem omejenem intervalu.
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\end_deeper
\begin_layout Enumerate
\begin_inset Formula $\left[15\right]$
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\begin_deeper
\begin_layout Enumerate
Pojasni princip matematične indukcije.
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\begin_layout Enumerate
Z matematično indukcijo dokaži
\begin_inset Formula
\[
1+2+\cdots+n=\frac{n\left(n+1\right)}{2}
\]
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\begin_layout Enumerate
Naj bo
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