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

Prove that f(x) = x^2 is continuous at x = 2 using the ε - ∂ definition of continuity.

2. The attempt at a solution

Using the definition of continuity, I've reached thus far in the question:

|x - 2||x + 2| < ε whenever |x - 2| < ∂

3. Relevant equations

I have no clue how to move forward from here. I know while solving this type of questions, we try to solve the first inequality so that ∂ can be written in terms of ε, but I can't seem to figure out what to do with |x + 2|.

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# Homework Help: Prove continuity by first principle

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