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Determine whether the series Σe-4n converges or diverges. If it converges, find its sum. n=0 Select the correct choice below and, if necessary, fill in the answer box within your choice. - 4n The series diverges because lim #0 or fails to exist. O A. n18 k OB. The series converges because Σ e n=0 O D. O E. lim 0044 The series converges because (Type an exact answer.) O C. The series converges because it is a geometric series with |r|<1. The sum of the series is (Type an exact answer.) ... 4n lim n18 fails to exist. The series diverges because it is a geometric series with |r| ≥ 1. 4n = 0. The sum of the series is

Determine whether the series Σe-4n converges or diverges. If it converges, find its sum. n=0 Select the correct choice below and, if necessary, fill in the answer box within your choice. - 4n The series diverges because lim #0 or fails to exist. O A. n18 k OB. The series converges because Σ e n=0 O D. O E. lim 0044 The series converges because (Type an exact answer.) O C. The series converges because it is a geometric series with |r|<1. The sum of the series is (Type an exact answer.) ... 4n lim n18 fails to exist. The series diverges because it is a geometric series with |r| ≥ 1. 4n = 0. The sum of the series is

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 series A. 8 n=0 e O E. -4n Select the correct choice below and, if necessary, fill in the answer box within your choice. The series diverges because lim n-8 converges or diverges. If it converges, find its sum. 4n lim k→∞ k B. The series converges because Σ e n=0 #0 or fails to exist. 4n fails to exist. C. The series converges because it is a geometric series with |r| < 1. The sum of the series is (Type an exact answer.) D. The series diverges because it is a geometric series with |r| > 1. The series converges because lim e-4n = 0. The sum of the series is (Type an exact answer.) n-8
Transcribed Image Text:Determine whether the series A. 8 n=0 e O E. -4n Select the correct choice below and, if necessary, fill in the answer box within your choice. The series diverges because lim n-8 converges or diverges. If it converges, find its sum. 4n lim k→∞ k B. The series converges because Σ e n=0 #0 or fails to exist. 4n fails to exist. C. The series converges because it is a geometric series with |r| < 1. The sum of the series is (Type an exact answer.) D. The series diverges because it is a geometric series with |r| > 1. The series converges because lim e-4n = 0. The sum of the series is (Type an exact answer.) n-8
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