Nonexistence of limits Use the Two-Path Test to prove that

Chapter 9, Problem 26E

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QUESTION:

Nonexistence of limits  Use the Two-Path Test to prove that the following limits do not exist.

\(\lim _{(x, y) \rightarrow(0.0)} \frac{4 x y}{3 x^{2}+y^{2}}\)

                                           

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QUESTION:

Nonexistence of limits  Use the Two-Path Test to prove that the following limits do not exist.

\(\lim _{(x, y) \rightarrow(0.0)} \frac{4 x y}{3 x^{2}+y^{2}}\)

                                           

ANSWER:

Step 1 of 3

Given function is

 

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