Answer
$$-j.$$
Work Step by Step
$$
\lim _{t \rightarrow \pi} \sin 2t i+\cos tj+ \tan 4t k=
(\lim _{t \rightarrow \pi} \sin 2t) i+(\lim _{t \rightarrow \pi}\cos t)j+ (\lim _{t \rightarrow \pi}\tan 4t ) k\\=0i-j+0k=-j.
$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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: 2
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