Question: Prove that if f is a function of two variables that is differentiable at (a, b), then f is continuous at (a, b). Show that

Prove that if f is a function of two variables that is differentiable at (a, b), then f is continuous at (a, b).

Show thatf(a + Ax, b + Ay) = f(a, b) lim (Ax, Ay)-(0, 0)

f(a + Ax, b + Ay) = f(a, b) lim (Ax, Ay)-(0, 0)

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