Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 14: Partial Derivatives - Section 14.2 - Limits and Continuity in Higher Dimensions - Exercises 14.2 - Page 796: 30

Answer

ln7

Work Step by Step

The point (2,-3,6) is in the equation's domain, so plug the point into the equation to evaluate the limit: $ln\sqrt (2^2+(-3)^2+6^2)=ln\sqrt (4+9+36)=ln\sqrt 49=ln7$
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