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Determine whether the following series converge or diverge. In(k) a. ER=1 k 1 b. k=1 k.3k C. Σ=12k2_1

Determine whether the following series converge or diverge. In(k) a. ER=1 k 1 b. k=1 k.3k C. Σ=12k2_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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Section 11.3: Testing for Convergence, Estimating Limits 6. Determine whether the following series converge or diverge. In(k) a. 100 ΣΚ=1 k 1 b. Σx=1k-3k 100 C. 1 12k²-1 Σ=1 7. For each of the series from the previous problem that converged, find a value of n so that the tail R₂ is less than 0.01.
Transcribed Image Text:Section 11.3: Testing for Convergence, Estimating Limits 6. Determine whether the following series converge or diverge. In(k) a. 100 ΣΚ=1 k 1 b. Σx=1k-3k 100 C. 1 12k²-1 Σ=1 7. For each of the series from the previous problem that converged, find a value of n so that the tail R₂ is less than 0.01.
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