(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove using the formal definition of a limit that Lim_{ x→4 }x^{2}= 16

2. Relevant equations

|f(x)-L| and |x-c|

Using epsilon/delta definition.

3. The attempt at a solution

I've got that |x^{2}-16| = |x-4||x+4|

I'm also pretty sure only |x-4| matters, since it is the same as |x-c|.

What would delta be? Since there's no coefficient of x to factor out, would delta = epsilon?

Another note: I really have no idea what I'm doing. I've based all my work off of prior examples, I don't understand how to "prove" the limit using the above information.

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# Prove using the formal definition of a limit

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