Determine the behavior of the following SERIES. (4n²+5)" (3n+ 1)2n The series n=1 The series Σ(-1)", n=3 1 In n n=3 [Select] [Select] The series (10-1)" [Select]

Q: What is a conditionally convergent series?

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Q: -n=2 1 n(Inn)2

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Q: n=1 2√√n +1 2 3n²+1

A: We have to determine whether the following series is absolutely convergent, conditionally convergent…

Q: state whether the series converges or diverges

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Q: b) Check whether the series + n2 n=1 absolutely convergent or conditionally convergent.

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Q: (d) E(-1)" –1) n! +00 n=D1

A: Alternate series test : Suppose we have given series ∑n=1∞ -1nan  such that an≥0 for n . If…

Q: 8 n=1 5n. (n!)² (2n)!. 4n

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Q: etermine whether the series is absolutely convergent, conditionally convergent, or ivergent. (please…

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Q: n-1 Determine if the series -) (-1) converges absolutely, converges conditionally, or n=1 diverges.

A: By applying alternating series test