8) Which of the following functions f and g from R² to R are continuous at the origin? f(x, y) = g(x, y) = = x³ 3x²y 0 ₂

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8 Which Of The Following Functions F And G From R To R Are Continuous At The Origin F X Y G X Y X 3x Y 0 1 (40.29 KiB) Viewed 54 times

8) Which of the following functions f and g from R² to R are continuous at the origin? f(x, y) = g(x, y) = = x³ 3x²y 0 ₂4 +x³y + xy³ + y² if (x, y) = (0,0) if x = 0 or y = 0 if (x, y) = (0,0) if x = y = 0 0 Statement 1: f(x, y) is continuous at the origin Statement 2: g(x, y) is continuous at the origin. Find out the number of correct statements.