There was a question on a previous assignment I had trouble completing. I was unable to fully solve it before it was due, unfortunately, but I need to know how to do it. For this problem, we had to evaluate the following limit: lim x2y2 _______ (x,y) -> (0,0) x4+y4 If the table is difficult to read, this was the limit as (x,y) approaches (0,0) of the expression (x2*y2)/(x4*+y4). I thought I had to convert to polar coordinates but the result I got was dependent on theta, which should not have happened. What method should I have used, and what should the result of this limit have been?
There was a question on a previous assignment I had trouble completing. I was unable to fully solve it before it was due, unfortunately, but I need to know how to do it. For this problem, we had to evaluate the following limit: lim x2y2 _______ (x,y) -> (0,0) x4+y4 If the table is difficult to read, this was the limit as (x,y) approaches (0,0) of the expression (x2*y2)/(x4*+y4). I thought I had to convert to polar coordinates but the result I got was dependent on theta, which should not have happened. What method should I have used, and what should the result of this limit have been?
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
Problem 59PS
Related questions
Question
100%
There was a question on a previous assignment I had trouble completing. I was unable to fully solve it before it was due, unfortunately, but I need to know how to do it. For this problem, we had to evaluate the following limit:
lim | x2y2 |
_______ | |
(x,y) -> (0,0) | x4+y4 |
If the table is difficult to read, this was the limit as (x,y) approaches (0,0) of the expression (x2*y2)/(x4*+y4).
I thought I had to convert to polar coordinates but the result I got was dependent on theta, which should not have happened. What method should I have used, and what should the result of this limit have been?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell