You may assume that the exponential and cosine functions are continuous and may freely use techniques from one-variable calculus, such as L'Hôpital's rule. Compute the following limits if they exist. (If an answer does not exist, enter DNE.) exy - 1 (a) lim (x, y) - (0, 0) y cos(xy) - 1 (b) lim (x, y)(0, 0) x?y2 ху (c) lim (x, y) - (0, 0) x2 + y2 + 6
You may assume that the exponential and cosine functions are continuous and may freely use techniques from one-variable calculus, such as L'Hôpital's rule. Compute the following limits if they exist. (If an answer does not exist, enter DNE.) exy - 1 (a) lim (x, y) - (0, 0) y cos(xy) - 1 (b) lim (x, y)(0, 0) x?y2 ху (c) lim (x, y) - (0, 0) x2 + y2 + 6
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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