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Math Help - Limit involving Absolute Values.

  1. #1
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    Limit involving Absolute Values.

    \lim_{y\rightarrow0}\frac{|3y-1|-|3y+1|}{y}

    The only way I can think of getting an answer is substituting values close to 0, but can anyone show me how to do it definitively.

    Thanks
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  2. #2
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    \frac{{ - 1}}<br />
{3} < y < \frac{1}<br />
{3} \Rightarrow \quad \frac{{\left| {3y - 1} \right| - \left| {3y + 1} \right|}}<br />
{y} = \frac{{\left( { - 3y + 1} \right) - \left( {3y + 1} \right)}}<br />
{y}
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