Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. 1 1+-+ 9 1 81 Select the correct choice below and fill in any answer boxes within your choice. O A. The series converges. The sum of the series is (Type an integer or a simplified fraction.) O B. The series diverges.

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Author:Erwin Kreyszig
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Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.
1
1+-+
9
1
81
Select the correct choice below and fill in any answer boxes within your choice.
O A. The series converges. The sum of the series is
(Type an integer or a simplified fraction.)
O B. The series diverges.
Transcribed Image Text:Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. 1 1+-+ 9 1 81 Select the correct choice below and fill in any answer boxes within your choice. O A. The series converges. The sum of the series is (Type an integer or a simplified fraction.) O B. The series diverges.
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