Answer
$$ \frac{5}{9}$$
Work Step by Step
We know the following infinite series represents .55555:
$$ S_{\infty }=\sum _{n=1}^{\infty }\:\frac{.5}{10\cdot \:i}$$
Simplifying, we find:
$$ =\frac{5}{9}$$
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 11 - Review - Page 668: 65
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