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Use an appropriate test to determine whether the series given below converges or diverges. Σ n=1 5n+ 2 n(n + 1)(n+2) Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The series diverges because the limit used in the nth-Term Test is B. 5 O C. The Comparison Test with 2 n 5 The Comparison Test with shows that the series converges. 2 shows that the series diverges. n ... (Type an exact answer.)

Use an appropriate test to determine whether the series given below converges or diverges. Σ n=1 5n+ 2 n(n + 1)(n+2) Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The series diverges because the limit used in the nth-Term Test is B. 5 O C. The Comparison Test with 2 n 5 The Comparison Test with shows that the series converges. 2 shows that the series diverges. n ... (Type an exact answer.)

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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Use an appropriate test to determine whether the series given below converges or diverges. ∞ 5n+ 2 Σ n(n + 1)(n+2) n=1 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The series diverges because the limit used in the nth-Term Test is B. 5 The Comparison Test with shows that the series diverges. The Comparison Test with Σ 2 n 5 2 n shows that the series converges. (Type an exact answer.)
Transcribed Image Text:Use an appropriate test to determine whether the series given below converges or diverges. ∞ 5n+ 2 Σ n(n + 1)(n+2) n=1 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The series diverges because the limit used in the nth-Term Test is B. 5 The Comparison Test with shows that the series diverges. The Comparison Test with Σ 2 n 5 2 n shows that the series converges. (Type an exact answer.)
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