Let f(x, y) true? = x²y 4+2 and consider lim f(x, y). Which of the following statements is (x,y) →(0,0) A. The limit is 0 because the path-restricted limit along any path approaching (0,0) is 0. B. The limit is 0 because the path-restricted limit along any line through (0,0) is 0. C. The limit does not exist because (0, 0) is not in the domain of f(x, y). D. The limit does not exist because the path-restricted limit along the line y = x is 0, but the path-restricted limit along y = x² is nonzero. E. The limit does not exist because the path-restricted limits along the x-axis and y-axis are different.

Let f(x, y) true? = x²y 4+2 and consider lim f(x, y). Which of the following statements is (x,y) →(0,0) A. The limit is 0 because the path-restricted limit along any path approaching (0,0) is 0. B. The limit is 0 because the path-restricted limit along any line through (0,0) is 0. C. The limit does not exist because (0, 0) is not in the domain of f(x, y). D. The limit does not exist because the path-restricted limit along the line y = x is 0, but the path-restricted limit along y = x² is nonzero. E. The limit does not exist because the path-restricted limits along the x-axis and y-axis are different.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 4CR

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