Proove the statement using epsilon,delta def. of a limit

gr8joel

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May 22, 2011
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\(\displaystyle \lim_{x\to 2}\frac{x^{2}+x-6}{x-2}=5\)

I eventually end up at this:

\(\displaystyle 0< |x-2|<\delta\) implies \(\displaystyle |x-2|<\epsilon\)

Once I reach this, I do not know if I need to prove it any further. Do I need to continue on to prove this or do I leave it as is?

Thanks in advanced
 
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