#### Answer

$-(\dfrac{\pi}{4})$

#### Work Step by Step

Consider $l=\lim\limits_{(x,y,z) \to (1,-1,-1)} \tan^{-1} (x+y+z)$
and $l=\tan^{-1} (1-1-1)=\tan^{-1} (-1)$
Hence, $l=-\tan^{-1} (\tan (\dfrac{\pi}{4}))=-(\dfrac{\pi}{4})$

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Published by
Pearson

ISBN 10:
0-32187-896-5

ISBN 13:
978-0-32187-896-0

$-(\dfrac{\pi}{4})$

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