Calculating Multivariable Limit – x multiplied by ln function – Exercise 4187

Exercise

Does the limit

lim(x,y)(0,0)xln(x2+3y2)\lim_{(x,y)\rightarrow (0,0)} x\ln(x^2+3y^2)

Exist? If so, evaluate it.

Final Answer

lim(x,y)(0,0)xln(x2+3y2)=0\lim_{(x,y)\rightarrow (0,0)} x\ln(x^2+3y^2)=0

Solution

Coming soon…

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