Determine if the series O O A n = 1 ² n2 +4 5 n2 + converges or diverges and choose the option that describes the behaviour of the series. The given series is an alternating series, and it diverges. The given series converges. The given series diverges. The given series is neither convergent nor divergent. Since there exist a limit to the series, the given series is convergent.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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Determine if the series
∞
n = 1
3
n² + 4
5
n² +
3
converges or diverges and choose the option that describes the behaviour of the series.
The given series is an alternating series, and it diverges.
The given series converges.
The given series diverges.
The given series is neither convergent nor divergent.
Since there exist a limit to the series, the given series is convergent.
Transcribed Image Text:Determine if the series ∞ n = 1 3 n² + 4 5 n² + 3 converges or diverges and choose the option that describes the behaviour of the series. The given series is an alternating series, and it diverges. The given series converges. The given series diverges. The given series is neither convergent nor divergent. Since there exist a limit to the series, the given series is convergent.
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