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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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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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