Answer
δ<0.01
Work Step by Step
1. |\frac{1}{x-1}-1|<0.01
2. |\frac{-(x-2)}{x-1+1-1}|<0.01
3. \frac{ δ}{x-2+1}|<0.01
4. frac{ δ}{ δ+1}<0.01
5. δ<0.01( δ+1)
6. δ<0.01 δ+0.01
7. 0.99 δ=0.01
8. δ=\frac{0.01}{0.99}
9. δ= 0.0101010101....
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 1 - Limits and Their Properties - 1.2 Exercises - Page 56: 30
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