Limits of functions of three variables Evaluate the

Chapter 9, Problem 45E

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QUESTION:

Limits of functions of three variables  Evaluate the following limits.

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

Questions & Answers

QUESTION:

Limits of functions of three variables  Evaluate the following limits.

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

ANSWER:

Solution 45E

Step 1 :

Given equation is

 

Applying limit

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