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Determine whether the following series converges. Justify your answer. 2 Σ √6k k=1 V 6k

Determine whether the following series converges. Justify your answer. 2 Σ √6k k=1 V 6k

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 72E
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Determine whether the following series converges. Justify your answer. ∞ 2 Σ k=1 √6ke√6k Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a geometric series with common ratio so the series converges by the properties of a geometric series. 1 B. The Integral Test yields ∞ S Fix 1 f(x) dx = ∞ OC. The Integral Test yields [f(x) dx: 1 so the series converges by the Integral Test. so the series diverges by the Integral Test. D. The series is a p-series with p = E. The series is a p-series with p = F. The series is a geometric series with common ratio so the series converges by the properties of a p-series. so the series diverges by the properties of a p-series. so the series diverge Screenshot 3 of a geometric series.
Transcribed Image Text:Determine whether the following series converges. Justify your answer. ∞ 2 Σ k=1 √6ke√6k Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a geometric series with common ratio so the series converges by the properties of a geometric series. 1 B. The Integral Test yields ∞ S Fix 1 f(x) dx = ∞ OC. The Integral Test yields [f(x) dx: 1 so the series converges by the Integral Test. so the series diverges by the Integral Test. D. The series is a p-series with p = E. The series is a p-series with p = F. The series is a geometric series with common ratio so the series converges by the properties of a p-series. so the series diverges by the properties of a p-series. so the series diverge Screenshot 3 of a geometric series.
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