Observe the figure. It is given that the function has no limit as (x, y) → (0 ,0) along the paths given in the figure. Then which of the following could be f(x, y)

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Partial Differentiation topics include: Limits and derivatives of variables, implicit and partial differentiation, eulers theorem, jacobians, quadrature, integral sign differentiation, total derivative, implicit partial differentiation and functional dependence. Partial differentiation is a mathematical process that finds the derivative of a function with respect to one of its variables, while holding the other variables constant. It's used in vector calculus and differential geometry. Partial differentiation is more general than ordinary differentiation, which finds the derivative with... Show more

Observe the figure. It is given that the function has no limit as (x, y) → (0 ,0) along the paths given in the figure. Then which of the following could be f(x, y)