Let Using polar coordinates, prove that and that does not exist. Show that g(x, y) = cos
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Let Using polar coordinates, prove that and that does not exist. Show that g(x, y) = cos2θ and observe that cos θ can take on any value between −1 and 1 as (x, y) → (0, 0).
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f(x,y) = x/(x + y) and g(x, y) = x/(x + y).
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