Question
2. (1pt) Consider the scalar field f: R² → R defined by xy √x² + y² 0 f(x, y): = , if (x, y) = (0,0) , if (x, y) = (0,0) Put a = (0,0). (a) Prove that f is continuous at a, i.e., limx→a f(x) = f(a). (b) Is f differentiable at a? Justify your answer.
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