Answer
Continuous
Work Step by Step
Since $ x^{2/3}$ and $2^x $ are defined for all $ x\in R $ and continuous, then by using the continuity law (iii), $ f(x)= x^{2/3}2^x $ is continuous on $ R $.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 2 - Limits - 2.4 Limits and Continuity - Exercises - Page 67: 39
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