Answer
$3-k$
Work Step by Step
Using the rules of limits, we find:
$$ \lim _{x\to \:0}\left(\frac{3x-\sin \left(kx\right)}{x}\right) \\ \lim _{x\to \:0}\left(3-k\cos \left(kx\right)\right) \\ 3-k\cos \left(k\cdot \:0\right)\\ 3-k$$
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 1 - Limits and Continuity - Chapter 1 Review Exercises - Page 108: 13
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