Say we have a 2-variable function f(x,y) which is not defined at (x,y)=(0,0). I wanted to make this a continuous function in (0,0) by defining it to be of a certain value at this point. If the function was a single variable, I'd set it's value at x=0 equal to the limit of the function as x approaches 0. What is the equivalent method for above when it comes to 2 variables? Is it simply the limit as x,y approach 0,0? How would one calculate this limit, and if it didn't exist, would it be impossible to make f(x,y) continuous on (0,0)? An example of f(x,y): sin(x)/x2+y2

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