Prove the following, using the meaning of a limit:
epsilon > 0, delta > 0
0 < sqrt(x^2 + y^2) < delta
| f(x) - 0 | < epsilon (1)
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.