Define f : R2 → R by letting (y² – x)² (y4 + x²) f(x, y) = if (x, y) # (0, 0), and f(0,0) = 1. || Prove that f' is continuous on R for all v E R² \ {(0,0)}, but that f itself is discon- tinuous at (0, 0) (relative to R²).

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