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

Calculate the limit:

[itex]lim_{(x,y)\rightarrow(0,0)}=\frac{4\sqrt{x^{14}+y^{14}}}{(x^{2}+y^{2})^{3}}[/itex]

3. The attempt at a solution

I think I'm supposed to use algebra for this but I can't seem to figure anything useful out.

I've found this:

[itex]x^{14}+y^{14}=(x^{2}+y^{2}) (x^{12}-x^{10} y^{2}+x^{8} y^{4}-x^{6} y^{6}+x^{4} y^{8}-x^{2} y^{10}+y^{12})[/itex]

but I'm not sure that helps me at all.

I know the limit exists and it's zero because I've plotted it.

Any help would be greatly appreciated.

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# Homework Help: Multivariable limit (x,y) to (0,0)

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