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: 10

Answer

1/2

Work Step by Step

The point (1/27,$π^3$) is in the equation's domain, so plug the point into the equation to evaluate the limit: $cos(\sqrt[3] ( π^3/27) )=cos (π/3)=1/2$
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