#### Answer

False

#### Work Step by Step

Since, it may be the case that , as ${ (x,y)\to (a,b)}$ along a curve ; not along a straight line through $(a,b)$.
Then, $\lim\limits_{ (x,y)\to (a,b)}f (x,y)\ne L$
Hence, the statement is false.

Published by
Cengage

ISBN 10:
1285740629

ISBN 13:
978-1-28574-062-1

False

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