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authorAnton Luka Šijanec <anton@sijanec.eu>2024-09-05 20:01:15 +0200
committerAnton Luka Šijanec <anton@sijanec.eu>2024-09-05 20:01:15 +0200
commit25834bba654ed7272d4da041e50e8f0396e4df4b (patch)
treeb519a2c8324e9c11e1d9d74ced49e1a2c861d47e /šola/ana1
parentnapad readme (diff)
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+#LyX 2.4 created this file. For more info see https://www.lyx.org/
+\lyxformat 620
+\begin_document
+\begin_header
+\save_transient_properties true
+\origin unavailable
+\textclass article
+\use_default_options true
+\maintain_unincluded_children no
+\language slovene
+\language_package default
+\inputencoding utf8
+\fontencoding auto
+\font_roman "default" "default"
+\font_sans "default" "default"
+\font_typewriter "default" "default"
+\font_math "auto" "auto"
+\font_default_family default
+\use_non_tex_fonts false
+\font_sc false
+\font_roman_osf false
+\font_sans_osf false
+\font_typewriter_osf false
+\font_sf_scale 100 100
+\font_tt_scale 100 100
+\use_microtype false
+\use_dash_ligatures true
+\graphics default
+\default_output_format default
+\output_sync 0
+\bibtex_command default
+\index_command default
+\float_placement class
+\float_alignment class
+\paperfontsize default
+\use_hyperref false
+\papersize default
+\use_geometry false
+\use_package amsmath 1
+\use_package amssymb 1
+\use_package cancel 1
+\use_package esint 1
+\use_package mathdots 1
+\use_package mathtools 1
+\use_package mhchem 1
+\use_package stackrel 1
+\use_package stmaryrd 1
+\use_package undertilde 1
+\cite_engine basic
+\cite_engine_type default
+\use_bibtopic false
+\use_indices false
+\paperorientation portrait
+\suppress_date false
+\justification true
+\use_refstyle 1
+\use_formatted_ref 0
+\use_minted 0
+\use_lineno 0
+\index Index
+\shortcut idx
+\color #008000
+\end_index
+\secnumdepth 3
+\tocdepth 3
+\paragraph_separation indent
+\paragraph_indentation default
+\is_math_indent 0
+\math_numbering_side default
+\quotes_style english
+\dynamic_quotes 0
+\papercolumns 1
+\papersides 1
+\paperpagestyle default
+\tablestyle default
+\tracking_changes false
+\output_changes false
+\change_bars false
+\postpone_fragile_content true
+\html_math_output 0
+\html_css_as_file 0
+\html_be_strict false
+\docbook_table_output 0
+\docbook_mathml_prefix 1
+\end_header
+
+\begin_body
+
+\begin_layout Title
+Rešen tretji izpit teorije Analize 1 —
+ IŠRM 2023/24
+\end_layout
+
+\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
+.
+\end_layout
+
+\begin_layout Enumerate
+\begin_inset Formula $\left[15\right]$
+\end_inset
+
+
+\begin_inset Newline newline
+\end_inset
+
+Podaj natančne definicije naslednjih pojmov:
+\end_layout
+
+\begin_deeper
+\begin_layout Enumerate
+limita zaporedja,
+ stekališče zaporedja
+\end_layout
+
+\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 $\mathbb{R}$
+\end_inset
+
+
+\end_layout
+
+\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.
+\end_layout
+
+\end_deeper
+\begin_layout Enumerate
+\begin_inset Formula $\left[15\right]$
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
+\begin_layout Enumerate
+Pojasni princip matematične indukcije.
+\end_layout
+
+\begin_layout Enumerate
+Z matematično indukcijo dokaži
+\begin_inset Formula
+\[
+1+2+\cdots+n=\frac{n\left(n+1\right)}{2}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\end_deeper
+\begin_layout Enumerate
+Naj bo
+\end_layout
+
+\end_body
+\end_document