variables to be contiñuous al a polm the function are the same at this point; that is, lim f(x, y, z) = f(xo, yo, zo) (x.y.2)→ (xo,yo.zo) for functions of two variables carry over to functions of three variehy EXERCISE SET 15.2 8. f(x, y) = tan¬'(y – x) In Exercises 1-8, sketch the region where the function f is In Exercises 9–12, describe the region on which the f is continuous. continuous. 2. f(x, y) = /x – y 1. f(x, y) = y In(1 +x) x²y V25 – x2 – y2 9. f(x, y, z) = 3x²e* cos(xyz) 10. f(x, y, z) = In(4 – x² – y² – z²) y +1 x2 + z? - 1 12. f(x, y, z) = sin /x² + y² + 3z² 3. f(x, y) = 4. f(x, y) = In(2x – y + 1) ху 5. f(x, y) = cos 11. f(x, y, z) = (1+x² + y² 6. f(x, y) = e'-xy 7. f(x, y) = sin(xy) Scae

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