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Use the two-path test to prove that the following limit does not exist x + 2y lim (x,y) →(0,0) x-2y

Use the two-path test to prove that the following limit does not exist x + 2y lim (x,y) →(0,0) x-2y

Calculus For The Life Sciences
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.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 61E
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Use the two-path test to prove that the following limit does not exist. x + 2y x-2y lim (x,y) →(0,0) X Z Z= x+2y x-2y
Transcribed Image Text:Use the two-path test to prove that the following limit does not exist. x + 2y x-2y lim (x,y) →(0,0) X Z Z= x+2y x-2y
x + 2y What value does f(x,y) = - approach as (x,y) approaches (0,0) along the x-axis? Select x-2y the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. f(x,y) approaches (Simplify your answer.) B. f(x,y) has no limit and does not approach ∞o or- ∞o as (x,y) approaches (0,0) along the x-axis. x + 2y 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 OA. f(x,y) approaches (Simplify your answer.) OB. f(x,y) has no limit and does not approach ∞o or- oo as (x,y) approaches (0,0) along the y-axis. D Why does the given limit not exist?
Transcribed Image Text:x + 2y What value does f(x,y) = - approach as (x,y) approaches (0,0) along the x-axis? Select x-2y the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. f(x,y) approaches (Simplify your answer.) B. f(x,y) has no limit and does not approach ∞o or- ∞o as (x,y) approaches (0,0) along the x-axis. x + 2y 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 OA. f(x,y) approaches (Simplify your answer.) OB. f(x,y) has no limit and does not approach ∞o or- oo as (x,y) approaches (0,0) along the y-axis. D Why does the given limit not exist?
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