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diff --git a/šola/ana1/teor3.lyx b/šola/ana1/teor3.lyx new file mode 100644 index 0000000..83c6873 --- /dev/null +++ b/šola/ana1/teor3.lyx @@ -0,0 +1,193 @@ +#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 |