I need to find a value for f at (0,0) to make this function continuous:(adsbygoogle = window.adsbygoogle || []).push({});

f(x,y)=sqrt(x^2+y^2)/[abs(x) + abs(y)^(1/3)]

With other functions in this problem I simply took the limit .. but taking the limit gives 0/0. In single-variable calculus I would apply l'hopital's rule to this, but I'm not sure what to do with multiple variables.

I also need to do the same for:

f(x,y)=(x^2 + y^2)*ln(x^2 + 2y^2)

For this one, you get 0*0, again an indeterminant form. In single variable I would manipulate it until I got 0/0 and then apply l'hopital .. but I'm lost in multivariable.

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# Homework Help: Continuous functions with multiple variables

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