H1) Investigate whether or not the following series converge. Justify your answer. a. b. C. ∞ ∞ k=1 ∞ k=1 1+3k² (k+ 1)² ³ k k² + 1 k² +1. k √k²

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.2: Sequences, Series And Summation Notation
Problem 51E
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can you please do all parts

H1) Investigate whether or not the following series converge. Justify your answer.
a.
b.
C.
∞
∞
k=1
∞
k=1
1+3k²
(k+ 1)² ³
k
k² + 1
k² +1.
k
√k²
Transcribed Image Text:H1) Investigate whether or not the following series converge. Justify your answer. a. b. C. ∞ ∞ k=1 ∞ k=1 1+3k² (k+ 1)² ³ k k² + 1 k² +1. k √k²
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I just had one question about part c in the calculation above ,would'nt it diverge as its not equal to 0, not converge

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Can you please do this using the ratio test 

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