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I am facing a problem that the item is positioned on the center of the table column, may i know how to make it to be positioned on the left side of the column? This is the problem i am facing. enter image description here

This is the code i am using.

enter image description here

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It would be helpful if you actually pasted your code so that it's easily copied. Also, we can give much better answers if you provide a fully functioning MWE (preamble and all). –  A.Ellett Dec 19 '13 at 8:11
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2 Answers

If you want the entry of a column to be positioned left, you may use l in the description of columns, e.g. \begin{tabular}{|l|l|c|}. Then you obtain exceptions, using multicolumn, e.g. \multicolumn{1}{|c|}{Types}.

BTW: MWE instead of a picture will be much more useful.

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+1 for your helmet! –  I am who I say I am Dec 19 '13 at 8:16
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I would use a combination of tabularx and enumitem packages.

tabularx provides X column parameters which create an expandable column which is treated as a column of type p{<width>} where <width> is the greatest value such that the entire width of the column is that passed to tabularx. Technically the minipage nested within the X-type column is a bit of overkill. But, it does give a bit better control over the horizontal alignment.

enumitem allows you to more readily control the various parameters shaping the list. In this MWE here, I've indicated that the left margin should be set to 1em.

\documentclass{article}
\usepackage[margin=1in]{geometry}
\usepackage{enumitem}
\usepackage{tabularx}
\usepackage{lipsum}
\renewcommand{\arraystretch}{1.25}
\begin{document}

\setlength{\arrayrulewidth}{0.5pt}
\begin{tabularx}{\linewidth}{|X|X|c|}
  \hline
  \multicolumn{3}{|c|}{Classification of the critical point $(0,0)$ of $x'=Ax$, $\mathbf{|A|} \ne 0$}
  \\\hline
  \centering Types & \centering Type of Critical Point & Stability \\\hline
  1. Real unequal eigenvalues of the same sign && \\
  \begin{minipage}[t]{\linewidth}
    \begin{itemize}[leftmargin=1em]
      \item \lipsum[1]
    \end{itemize}
  \end{minipage}
  &
  \begin{minipage}[t]{\linewidth}
    \begin{itemize}[leftmargin=1em]
    \item \lipsum[1]
    \end{itemize}
  \end{minipage}
  &
  Unstable
\end{tabularx}

\end{document}

You've left out the preamble to your MWE so I had to guess a bit at the packages you might be using.

enter image description here

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