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

Exercise

Does the limit

$$\lim_{(x,y)\rightarrow (0,0)} x\ln(x^2+3y^2)$$

Exist? If so, evaluate it.

$$\lim_{(x,y)\rightarrow (0,0)} x\ln(x^2+3y^2)=0$$