Use the two-path test to prove that the following limit does not exist. x+2y What value does f(xy) = approach as (xy) approaches (0,0) along the x-axis? Select the correct choice below and, if necessary, fil in the answer box to x+ 2y lim complete your choice. Ky)-10.0) X- 2 O A. fxy) approaches (Simplify your answer.) O B. f(xy) has no limit and does not approach co or - 0o as (x.y) approaches (0.0) along the x-axis

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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
icon
Related questions
Question

q14

Use the two-path test to prove that the following limit does not exist.
x+2y
approach as (x, y) approaches (0,0) along the x-axis? Select the correct choice below and, if necessary, fill in the answer box to
x- 2y
What value does f(x.y) =
x+ 2y
lim
complete your choice.
(xy)-(0,0)X - 2y
O A. f(x.y) approaches
(Simplify your answer.)
O B. f(x.y) has no limit and does not approach o or - 0o as (x.y) approaches (0,0) along the x-axis.
Transcribed Image Text:Use the two-path test to prove that the following limit does not exist. x+2y approach as (x, y) approaches (0,0) along the x-axis? Select the correct choice below and, if necessary, fill in the answer box to x- 2y What value does f(x.y) = x+ 2y lim complete your choice. (xy)-(0,0)X - 2y O A. f(x.y) approaches (Simplify your answer.) O B. f(x.y) has no limit and does not approach o or - 0o as (x.y) approaches (0,0) along the x-axis.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax