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Is there anyone here who has studied multi-variable calculus? Can someone help me understand this (example 3):
limit (x,y) tending to (0,0) (4xy^2)/(x^2 + y^2) = 0 because (4xy^2)/(x^2 + y^2) <= 4sqrt(x^2 + y^2) <4δ = ϵ
How and why did they assume that δ = 4ϵ and what does this prove anyway?