exV - 1 B Let g(x,y) x +y - 1 (a, b) = (1,0). Show that lim g(x,y) does not exist. (x,V) - (a,b) • To show this limit does not exist which one of the following pairs of paths are appropriate | (input a number from below) (1) Path 1: x = 0, Path 2: y = 1 Path 1: y = 0, Path 2: y = x - 1(3) Path 1: y = x, Path 2: x = 1 Path 1: x = 0, Path 2: y = 0
exV - 1 B Let g(x,y) x +y - 1 (a, b) = (1,0). Show that lim g(x,y) does not exist. (x,V) - (a,b) • To show this limit does not exist which one of the following pairs of paths are appropriate | (input a number from below) (1) Path 1: x = 0, Path 2: y = 1 Path 1: y = 0, Path 2: y = x - 1(3) Path 1: y = x, Path 2: x = 1 Path 1: x = 0, Path 2: y = 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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How do I even determine the paths? Please explain the process of how I would go about choosing the correct paths.
Transcribed Image Text:eXy – 1
Let g(x,y)
(a, b) = (1,0). Show that
lim
(x,V) - (a, b)
g(x,y) does not exist.
x +y - 1
• To show this limit does not exist which one of the following pairs of paths are appropriate
(input a
number from below)
(1) Path 1: x = 0, Path 2: y = 1 (2) Path 1: y = 0, Path 2: y = x - 1(3) Path 1: y = x, Path 2: x = 1
(4) Path 1: x = 0, Path 2: y = 0
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