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Prove that if f is a function of two variables that is differentiable at (a, b), then f is continuous at (a, b) . Hint: Show that lim(Δx, Δy) →(0,0) f(a+Δx, b+Δy)=f(a, b)
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Section 15.2 Limits and Continuity. Let f be a function of two variables whose domain D includes points arbitrarily close to (a, b). Then we say the limit. - ppt download
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