Question: Is a function f ( x , y ) = { s i n ( ( x y ) / ( x 3 + y

Is a function f(x,y)={sin((xy)/(x3+y4)),(x,y)=(0,0)0,(x,y)=(0,0)continuous at the point (0, 0) ?

Do the partial derivatives fx(0, 0) and fy(0, 0) exist?

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