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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
+\begin_preamble
+\usepackage{multicol}
+\end_preamble
+\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
+\spacing single
+\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
+\biblio_style plain
+\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 #008080
+\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 Standard
+Dobovišek.
+\end_layout
+
+\begin_layout Enumerate
+Poišči definicijsko območje funkcije,
+ podane z integralom
+\begin_inset Formula 
+\[
+f\left(y\right)=\int_{0}^{1}\frac{dx}{x^{2}+y^{2}}.
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
+\begin_layout Standard
+Rešitev:
+ 
+\begin_inset Formula $D_{f}=\mathbb{R}\setminus\left\{ 0\right\} $
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
+Razlaga:
+ Za 
+\begin_inset Formula $y=0$
+\end_inset
+
+ je integral 
+\begin_inset Formula $\int_{0}^{1}\frac{dx}{x^{2}}$
+\end_inset
+
+.
+ Nedoločeni je 
+\begin_inset Formula $\int\frac{dx}{x^{2}}dx=\frac{-1}{x}$
+\end_inset
+
+,
+ torej 
+\begin_inset Formula $\int_{0}^{1}\frac{dx}{x^{2}}=\left.\frac{-1}{x}\right|_{0}^{1}=-1+\lim_{x\to0}\frac{1}{x}\not\in\mathbb{R}$
+\end_inset
+
+.
+\end_layout
+
+\end_deeper
+\begin_layout Enumerate
+Izračunaj limiti:
+\end_layout
+
+\begin_deeper
+\begin_layout Standard
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+begin{multicols}{2}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Enumerate
+\begin_inset Formula 
+\[
+\lim_{R\to\infty}\int_{0}^{\pi/2}e^{-R\sin x}dx,
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
+\begin_layout Standard
+Rešitev:
+\begin_inset Formula 
+\[
+\int_{0}^{\pi/2}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\end_deeper
+\begin_layout Enumerate
+\begin_inset Formula 
+\[
+\lim_{\alpha\to0}\int_{\alpha}^{1+\alpha}\frac{dx}{1+x^{2}+\alpha^{2}}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{multicols}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_deeper
+\end_body
+\end_document