I am trying to complete a proof and I have a equation about the epsilon that I a

Question

I am trying to complete a proof and I have a equation about the epsilon that I am choosing. I chose just epsilon, which you will see below, changes to the square root of epsilon. I was wondering whether it was mathematically correct for me to begin with epsilon squared. Then, the problem ends with just epsilon as desired. Please let me know if I can make this change.

Thanks again and I will rate.

Explanation / Answer

You have done well. There is no wrong in that. Because, definition is depends on any given >0. So, you can do whatever way is convenient for you. I wish to inform some thing: In both proofs you have used n

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