3.5: Exercises for Limits and Continuity - Mathematics LibreTexts
https://math.libretexts.org/Courses/Misericordia_University/MTH_226%3A_Calculus_III/Chapter_14%3A_Functions_of_Multiple_Variables_and_Partial_Derivatives/3.05%3A_Exercises_for_Limits_and_Continuity
WEBJun 5, 2019 · Answer. In exercises 2 - 4, find the limit of the function. 2) lim ( x, y) → ( 1, 2) x. 3) lim ( x, y) → ( 1, 2) 5x2y x2 + y2. Answer. 4) Show that the limit lim ( x, y) → ( 0, 0) 5x2y x2 + y2 exists and is the same along the paths: y -axis and x -axis, and along y = x. In exercises 5 - 19, evaluate the limits at the indicated values of x and y.
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