Explain why or why not Determine whether the
Chapter 12, Problem 59(choose chapter or problem)
Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. If the limits lim 1x,02S10,02 f 1x, 02 and lim 10,y2S10,02 f 10, y2 exist and equal L, then lim 1x,y2S10,02 f 1x, y2 = L. b. If lim 1x,y2S1a,b2 f 1x, y2 equals a finite number L, then f is continuous at 1a, b2. c. If f is continuous at 1a, b2, then lim 1x,y2S1a,b2 f 1x, y2 exists. d. If P is a boundary point of the domain of f, then P is in the domain of f.
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