Updated to v1.02

Began work on Chapter 2 (Limits)

.gitignore

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 *.vrb
 *.xdy
 *.tdo
-*.DS_Store
+*.DS_Store

OpenCalculus.tex

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 \usepackage{amsmath}
 \usepackage{anysize}
 \usepackage{hyperref}
-\usepackage{graphicx}
-\usepackage{bigstrut}
+\usepackage{framed}
 
+\setlength{\parindent}{0cm}
 \marginsize{0.5in}{0.5in}{0.5in}{0.5in}
+\everymath{\displaystyle}
 
 \linespread{1.1}
 
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 Dixon \textsc{Crews}\\[0.5cm]
 \small \texttt{\href{mailto:dixon@opencalculus.org}{dixon@opencalculus.org}} \\ [3.5cm]
 
-{\large Version 1.01}\\[1cm]
+{\large Version 1.02}\\[1cm]
 {\large March 2014}\\[3cm]
 
 \vfill 
@@ -63,6 +64,48 @@ \subsection{What is Calculus?}
 
 \section{Limits}
 
+\subsection{Introduction}
+\textbf{Definition:} The limit of $f(x)$ as $x$ approaches $a$ equals $L$
+\begin{align*}
+	\lim_{x \to a} f(x) = L
+\end{align*}
+
+if we can make the values of $f(x)$ as close to $L$ as we like by taking $x$ to be close to $a$ but not equal to $a$. It is important to note that we do not consider the case where $x = a$ when evaluating limits. $f(x)$ may not be defined at $x = a$, so we are just concerned with the behavior of $f(x)$ as it approaches $x = a$. \\
+
+\subsubsection{Numerical Limit Evaluation}
+We can numerically evaluate limits by creating a table of values and letting the independent variable (usually $x$ or $t$) get very close to our $a$ value. Let's look at an example. \\
+
+\textbf{Evaluate} $\lim_{x \to 2} \sqrt{x}$ given \hspace{1em} 
+\begin{tabular}{c | c}
+	$x$ & $\sqrt{x}$  \\ \hline
+	1.98 & 1.4071 \\
+	1.99 & 1.4107 \\
+	2.00 & ?      \\
+	2.01 & 1.4177 \\
+	2.02 & 1.4213 \\
+\end{tabular}
+
+Let's choose 1.414 as our limit. $\sqrt{2}$ to four decimal places is actually 1.4142, so this is quite a good approximation!
+
+\subsection{One-Sided Limits}
+We can also look at limits from both directions. If we're evaluating a limit and see that we approach a different value from the left than we do when approaching from the right, the limit \textbf{does not exist (DNE)}. \\
+
+A left-sided limit is denoted by changing $a$ to $a^-$: $\lim_{x \to a^-} f(x) = L$ \\
+
+Similarly, a right-sided limit is denoted by changing $a$ to $a^+$: $\lim_{x \to a^+} f(x) = L$ \\
+
+\begin{center}
+	\begin{framed}
+	$\lim_{x \to a} f(x) = L$ \textbf{iff} $\lim_{x \to a^-} f(x) = L$ \textbf{and} $\lim_{x \to a^+} f(x) = L$
+	\end{framed}
+\end{center}
+
+\subsection{Properties of Limits}
+
+\subsection{Continuity}
+
+\subsection{Infinite Limits}
+
 \section{Differentiation}
 
 \section{Integration}