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Math Help - limit how to get to a step?

  1. #1
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    limit how to get to a step?

    how do i get from this step of the limit: limit of [1/(3+x)-(1/3)]/x as x approaches 0 to this step limit of 3-(3+x)/(3+x)3(x) as x approaches 0 the solution to the problem is -1/9
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  2. #2
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    <br />
\begin{gathered}<br />
  \frac{1}<br />
{{3 + x}} - \frac{1}<br />
{3} = \frac{{ - x}}<br />
{{9 + 3x}} \hfill \\<br />
  \frac{{\frac{{ - x}}<br />
{{9 + 3x}}}}<br />
{x} = \frac{{ - 1}}<br />
{{9 + 3x}} \hfill \\ <br />
\end{gathered}
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