%% Created by Maple 13.0, Windows XP
%% Source Worksheet: Untitled (1)
%% Generated: Mon Nov 01 12:47:59 EDT 2010
\documentclass{article}
\usepackage{maplestd2e}
\def\emptyline{\vspace{12pt}}
\begin{document}
\pagestyle{empty}
\DefineParaStyle{Maple Heading 1}
\DefineParaStyle{Maple Text Output}
\DefineParaStyle{Maple Dash Item}
\DefineParaStyle{Maple Bullet Item}
\DefineParaStyle{Maple Normal}
\DefineParaStyle{Maple Heading 4}
\DefineParaStyle{Maple Heading 3}
\DefineParaStyle{Maple Heading 2}
\DefineParaStyle{Maple Warning}
\DefineParaStyle{Maple Title}
\DefineParaStyle{Maple Error}
\DefineCharStyle{Maple Hyperlink}
\DefineCharStyle{Maple 2D Math}
\DefineCharStyle{Maple Maple Input}
\DefineCharStyle{Maple 2D Output}
\DefineCharStyle{Maple 2D Input}
\mapleinline{inert}{2d}{f := 2*v^3-4*v^2*sqrt(v)+4*v^2}{\[\displaystyle f\, := \,2\,{v}^{3}-4\,{v}^{2} \sqrt{v}+4\,{v}^{2}\]}
\begin{maplegroup}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{2*v^3-4*v^(5/2)+4*v^2}{\[\displaystyle 2\,{v}^{3}-4\,{v}^{5/2}+4\,{v}^{2}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{g := v^2}{\[\displaystyle g\, := \,{v}^{2}\]}
\begin{maplegroup}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{v^2}{\[\displaystyle {v}^{2}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{h := Limit(f/g, x = infinity)}{\[\displaystyle h\, := \,\lim _{x\rightarrow \infty }{\frac {f}{g}}\]}
\begin{maplegroup}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{Limit((2*v^3-4*v^(5/2)+4*v^2)/v^2, x = infinity)}{\[\displaystyle \lim _{x\rightarrow \infty }{\frac {2\,{v}^{3}-4\,{v}^{5/2}+4\,{v}^{2}}{{v}^{2}}}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{efalf(h)}{\[\displaystyle {\it efalf} \left( h \right) \]}
\begin{maplegroup}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{efalf(Limit((2*v^3-4*v^(5/2)+4*v^2)/v^2, x = 0))}{\[\displaystyle {\it efalf} \left( \lim _{x\rightarrow 0}{\frac {2\,{v}^{3}-4\,{v}^{5/2}+4\,{v}^{2}}{{v}^{2}}} \right) \]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{evalf(h)}{\[\displaystyle {\it evalf} \left( h \right) \]}
\begin{maplegroup}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{Limit((2*v^3-4*v^(5/2)+4*v^2)/v^2, x = 0, left)}{\[\displaystyle \lim _{x\rightarrow 0^{-}}{\frac {2\,{v}^{3}-4\,{v}^{5/2}+4\,{v}^{2}}{{v}^{2}}}\]}
\end{maplelatex}
\end{maplegroup}
\begin{Maple Normal}{
\begin{Maple Normal}{
\mapleinline{inert}{2d}{}{\[\displaystyle \]}
}\end{Maple Normal}
}\end{Maple Normal}
\mapleinline{inert}{2d}{diff(f, v, v)}{\[\displaystyle {\frac {d^{2}}{d{v}^{2}}}f\]}
\begin{maplegroup}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{12*v-15*sqrt(v)+8}{\[\displaystyle 12\,v-15\, \sqrt{v}+8\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{limit(f/g, x = 3)}{\[\displaystyle \lim _{x\rightarrow 3}{\frac {f}{g}}\]}
\begin{maplegroup}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{(2*v^3-4*v^(5/2)+4*v^2)/v^2}{\[\displaystyle {\frac {2\,{v}^{3}-4\,{v}^{5/2}+4\,{v}^{2}}{{v}^{2}}}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{limit((2*v^3-4*v^2*sqrt(v)+4*v^2)/v^3, v = infinity)}{\[\displaystyle \lim _{v\rightarrow \infty }{\frac {2\,{v}^{3}-4\,{v}^{2} \sqrt{v}+4\,{v}^{2}}{{v}^{3}}}\]}
\begin{maplegroup}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{2}{\[\displaystyle 2\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{limit((2*v^3-4*v^2*sqrt(v)+4*v^2)/v^2, v = infinity)}{\[\displaystyle \lim _{v\rightarrow \infty }{\frac {2\,{v}^{3}-4\,{v}^{2} \sqrt{v}+4\,{v}^{2}}{{v}^{2}}}\]}
\begin{maplegroup}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{infinity}{\[\displaystyle \infty \]}
\end{maplelatex}
\end{maplegroup}
\begin{Maple Normal}{
\begin{Maple Normal}{
\mapleinline{inert}{2d}{}{\[\displaystyle \]}
}\end{Maple Normal}
}\end{Maple Normal}
\end{document}
