The function (x, y) sin(xy) xy is defined for xy 0 (a) Is it possible to extend the domain of to all of R 2 so that the result is a continuous function (b) Use a computer algebra system to plot Does the result support your conclusion in (a)

Question: The function (x, y) = sin(xy)/xy is defined for xy 0. (a) Is it possible to extend the domain of to all of

The function ƒ(x, y) = sin(xy)/xy is defined for xy ≠ 0.
(a) Is it possible to extend the domain of ƒ to all of R² so that the result is a continuous function?
(b) Use a computer algebra system to plot ƒ. Does the result support your conclusion in (a)?

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