Use the Integral Test to determine whether the infinite series is convergent or divergent. Be sure to check that the conditions of the Integral Test ar ∞ 2k +3 Σ k=1 ,2 k + 3k +4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) ∞ OA. The series converges because S 1 OB. The series diverges because 8 2x+3 x + 3x +4 2x + 3 + 3x + 4 dx = dx = 1 OC. The Integral Test cannot be used since one or more of the conditions for the Integral Test is not satisfied.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Use the Integral Test to determine whether the infinite series is convergent or divergent. Be sure to check that the conditions of the Integral Test are satisfied.
∞
2k + 3
Σ
K² +3k +4
k=1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Type an exact answer.)
∞
OA. The series converges because
S
2x + 3
2
x²+3x+4
2x + 3
∞
B. The series diverges because
ļ
1
OC. The Integral Test cannot be used since one or more of the conditions for the Integral Test is not satisfied.
dx =
2
x + 3x + 4
dx =
Transcribed Image Text:Use the Integral Test to determine whether the infinite series is convergent or divergent. Be sure to check that the conditions of the Integral Test are satisfied. ∞ 2k + 3 Σ K² +3k +4 k=1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) ∞ OA. The series converges because S 2x + 3 2 x²+3x+4 2x + 3 ∞ B. The series diverges because ļ 1 OC. The Integral Test cannot be used since one or more of the conditions for the Integral Test is not satisfied. dx = 2 x + 3x + 4 dx =
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