Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 3 - The Derivative - 3.1 Limits - 3.1 Exercises - Page 137: 43

Answer

$\frac{3}{7}$

Work Step by Step

$\lim\limits_{x \to \infty} \frac{3x}{7x -1} =\lim\limits_{x \to \infty} \frac{\frac{3x}{x}}{\frac{7x}{x}-\frac{1}{x}}= \lim\limits_{x \to \infty} \frac{3}{7 - \frac{1}{x}}=\frac{3}{7}$
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