Hello,

How can I prove that the limit of the following function equals to zero, using the delta epsilon method?

$\displaystyle \lim_{x\rightarrow 2}(x^2-4)=0$

I have reached this step, but I do not know what to do next:

$\displaystyle |x-2|< \frac{\varepsilon}{|x+2|}$

thanks in advance, Michael