Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 14 - Calculus of Vector-Valued Functions - 14.2 Calculus of Vector-Valued Functions - Exercises - Page 720: 1


$$\left\langle 9, 12, \frac{1}{3}\right\rangle.$$

Work Step by Step

$$ \lim _{t \rightarrow 3}\left\langle t^{2}, 4 t, \frac{1}{t}\right\rangle= \left\langle \lim _{t \rightarrow 3}t^{2}, 4\lim _{t \rightarrow 3} t, \lim _{t \rightarrow 3}\frac{1}{t}\right\rangle\\=\left\langle 9, 12, \frac{1}{3}\right\rangle. $$
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