Sorry, I am really struggling with the precise definition of the limit. I have a specific question I'm trying to work out(adsbygoogle = window.adsbygoogle || []).push({});

lim(x->2) (4x^{2}+2)=18

skipping the introduction part

any advice? I am just not sure how to get rid of the^{2}value to re-arrange |(4x^{2}+2)-18| to look like |x-2|

|x-2|<delta |(4x^{2}+2)-18|<epsilon

|(4x^{2}-16|<epsilon

I did go down the route of

|(4x^{2}+2)-18| = |2x+4| |2x-4|<epsilon

but this step just lead me to the same problem

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# Precise definition of the limit (epsilon-delta)

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