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Which of the following statement(s) is/are true? Select one or more: O a. None of the other options. x³ y x6 + y² ´ 0, (x, y) # (0,0) O b. The function f(x, y) = is discontinuous at the point (0, 0). (x, y) = (0,0) 1 O c. The value of lim х — у is 208 (x.y)→(3,3) xª – y x³y O d. The function f(x, y) = { x6 + y2 0, (x, y) # (0,0) is continuous at the point (0, 0). (x, y) = (0,0) O e. The value of 1 х — у is lim (x.y)→(3,3) x4 – y 108

Which of the following statement(s) is/are true? Select one or more: O a. None of the other options. x³ y x6 + y² ´ 0, (x, y) # (0,0) O b. The function f(x, y) = is discontinuous at the point (0, 0). (x, y) = (0,0) 1 O c. The value of lim х — у is 208 (x.y)→(3,3) xª – y x³y O d. The function f(x, y) = { x6 + y2 0, (x, y) # (0,0) is continuous at the point (0, 0). (x, y) = (0,0) O e. The value of 1 х — у is lim (x.y)→(3,3) x4 – y 108

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Which of the following statement(s) is/are true? Select one or more: O a. None of the other options. x³y O b. The function f(x, y) = { x6 + y2 (x, y) # (0,0) is discontinuous at the point (0, 0). 0, (x, y) = (0,0) 1 O c. The value of lim х — у is 208 С. (х,у)- (3,3) х4 — y x'y O d. The function f(x, y) = { x6 + y² (x, y) # (0,0) is continuous at the point (0, 0). 0, (x, y) = (0,0) х — у 1 O e. The value of lim is (x,y)-(3,3) x4 – y4 108
Transcribed Image Text:Which of the following statement(s) is/are true? Select one or more: O a. None of the other options. x³y O b. The function f(x, y) = { x6 + y2 (x, y) # (0,0) is discontinuous at the point (0, 0). 0, (x, y) = (0,0) 1 O c. The value of lim х — у is 208 С. (х,у)- (3,3) х4 — y x'y O d. The function f(x, y) = { x6 + y² (x, y) # (0,0) is continuous at the point (0, 0). 0, (x, y) = (0,0) х — у 1 O e. The value of lim is (x,y)-(3,3) x4 – y4 108
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