Question: For what values of the number r is the function continuous on R 3 ? f(x, y, z) = (x + y + z)' x

For what values of the number r is the function

f(x, y, z) = (x + y + z)' x + y

continuous on R3?

f(x, y, z) = (x + y + z)' x + y + z 0 if (x, y, z) (0, 0, 0) if (x, y, z) = (0, 0, 0)

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