I just need a simple yes or no answer to see if my answer is in line with a consensus. Does the limit $$\lim_{(x,y)\to(0,0)}\frac{x^2+y^4}{x+y^2}$$ exist? I think it does, and the limit is 0.
Does $\lim_{(x,y)\to(0,0)}\frac{x^2+y^4}{x+y^2}$ exist, and equal $0$?
0
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limits
multivariable-calculus
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1"I think it does, and the limit is $0$". Can you write down your reasoning? – 2012-04-09