Solution Found!
Nonexistence of limits Use the Two-Path Test
Chapter 9, Problem 29E(choose chapter or problem)
QUESTION:
Nonexistence of limits Use the Two-Path Test to prove that the following limits do not exist.
\(\lim _{(x, y) \rightarrow(0,0)} \frac{y^{3}+x^{3}}{x y^{2}}\)
Questions & Answers
QUESTION:
Nonexistence of limits Use the Two-Path Test to prove that the following limits do not exist.
\(\lim _{(x, y) \rightarrow(0,0)} \frac{y^{3}+x^{3}}{x y^{2}}\)
ANSWER:Step 1 of 2
The limit is 
The objective is to use two path test to prove that limit does not exist.
The domain of the function is
Suppose 
