Use the Limit Comparison Test to determine whether the series converges. 3√²+1 3 k=1 √k +7 8!!! Σ The Limit Comparison Test with 8 k=1 1 √√K³ +7 k shows that the series - 1 3√√²+1 k+1 √K³ +7 -1410 5
Use the Limit Comparison Test to determine whether the series converges. 3√²+1 3 k=1 √k +7 8!!! Σ The Limit Comparison Test with 8 k=1 1 √√K³ +7 k shows that the series - 1 3√√²+1 k+1 √K³ +7 -1410 5
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Question
Use the limit comparison test to see if this series converges.
Transcribed Image Text:Use the Limit Comparison Test to determine whether the series converges.
3√²+1
2
∞
Σ
k=1 √k +7
The Limit Comparison Test with
∞
k=1
1
√3+7
k
shows that the series
1
3√/k². +1
3/K²+1
√k³ +7
-1010
5
6
...
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