Solved: Limits of functions Evaluate the following limits.

Chapter 9, Problem 18E

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QUESTION:

Limits of functions  Evaluate the following limits.

\(\lim _{(x, y) \rightarrow(1,-1)} \frac{10 x y-2 y^{2}}{x^{2}+y^{2}}\)

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QUESTION:

Limits of functions  Evaluate the following limits.

\(\lim _{(x, y) \rightarrow(1,-1)} \frac{10 x y-2 y^{2}}{x^{2}+y^{2}}\)

ANSWER:

Solution 18E

Given

           

Step 1: 

To find evaluate the following limits

           at u = 1 and v = -1

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