Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.3 - Properties of Logarithms - Exercise Set - Page 476: 112


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Work Step by Step

Step 1. $ln2\approx0.6931471906$ Step 2. $1-\frac{1}{2}+\frac{1}{3}\approx0.8333333333$ Step 3. $1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}\approx0.5833333333$ Step 4. $1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{5}\approx0.7833333333$ Step 5. We can observe that the values of steps 2-4 oscillate and get closer to the value from step 1. Extra: Results from steps 2-4 are partial values of a Taylor expansion for $ln2$
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