Use the two-path test to prove that the following limit does not exist. x+2y x- 2y What value does f(x.y) = аpproach (x,y) approaches (0,0) along the x-axis? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x+ 2y (xy)-(0.0) x- 2y lim O A. f(x.y) approaches. (Simplify your answer.) O B. f(x,y) has no limit and does not approach oo or - 00 as (x.y) approaches (0,0) along the x-axis. What value does f(x.y) = approach as (x,y) approaches (0,0) along the y-axis? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x-2y O A. f(x.y) approaches (Simplify your answer.) O B. f(x,y) has no limit and does not approach oo or - 00 as (x.y) approaches (0,0) along the y-axis. Why does the given limit not exist? O A. As (x,y) approaches (0,0) along different paths, f(x,y) always approaches the same value. . O B. As (x,y) approaches (0,0) along different paths, f(x,y) does not always approach a finite value. O C. The limit does not exist because as (x,y) approaches (0,0), the denominator approaches 0. O D. As (x.y) approaches (0,0) along different paths, f(x.y) approaches two different values.

Use the two-path test to prove that the following limit does not exist. x+2y x- 2y What value does f(x.y) = аpproach (x,y) approaches (0,0) along the x-axis? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x+ 2y (xy)-(0.0) x- 2y lim O A. f(x.y) approaches. (Simplify your answer.) O B. f(x,y) has no limit and does not approach oo or - 00 as (x.y) approaches (0,0) along the x-axis. What value does f(x.y) = approach as (x,y) approaches (0,0) along the y-axis? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x-2y O A. f(x.y) approaches (Simplify your answer.) O B. f(x,y) has no limit and does not approach oo or - 00 as (x.y) approaches (0,0) along the y-axis. Why does the given limit not exist? O A. As (x,y) approaches (0,0) along different paths, f(x,y) always approaches the same value. . O B. As (x,y) approaches (0,0) along different paths, f(x,y) does not always approach a finite value. O C. The limit does not exist because as (x,y) approaches (0,0), the denominator approaches 0. O D. As (x.y) approaches (0,0) along different paths, f(x.y) approaches two different values.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

See similar textbooks