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

Prove the following, using the meaning of a limit:

2. Relevant equations

epsilon > 0, delta > 0

0 < sqrt(x^2 + y^2) < delta

| f(x) - 0 | < epsilon (1)

3. The attempt at a solution

So, I know that I have to elaborate on the inequality in (1), further. However, I'm not sure of how to go about this. If I start transposing it seems to get much too messy and I end up with a proposed delta which seems far too complex. Is there some simplification that I'm overlooking here?

Any help is really appreciated, ta.

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# Homework Help: Multivariable Calculus - a question of limits

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