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Determine whether the following series converges. Justify your answer. (-10)k k! Σ k=1

Determine whether the following series converges. Justify your answer. (-10)k k! Σ k=1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine whether the following series converges. Justify your answer. (-10)k k! M8 Σ k=1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) A. The limit of the terms of the series is so the series diverges by the Divergence Test. B. The Ratio Test yields r = so the series diverges by the Ratio Test. OC. The series is a geometric series with common ratio D. The series is a geometric series with common ratio OE. The Ratio Test yields r= OF. The Root Test yields p = so the series converges by the Ratio Test. so the series diverges by the Root Test. so the series converges by the properties of a geometric series. so the series diverges by the properties of a geometric series.
Transcribed Image Text:Determine whether the following series converges. Justify your answer. (-10)k k! M8 Σ k=1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) A. The limit of the terms of the series is so the series diverges by the Divergence Test. B. The Ratio Test yields r = so the series diverges by the Ratio Test. OC. The series is a geometric series with common ratio D. The series is a geometric series with common ratio OE. The Ratio Test yields r= OF. The Root Test yields p = so the series converges by the Ratio Test. so the series diverges by the Root Test. so the series converges by the properties of a geometric series. so the series diverges by the properties of a geometric series.
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