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Q: u) 1 Σ(-3 ---) n

A: Convergence of the series is tested by using comparison test

Q: 47 n!

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: (2k – 1)(k² – 1) (k + 1)(k² + 4)² - k=1 d.

A:

Q: n52n n+1 n=1

A: The given series is ∑n=1∞n52n10n+1 which is of the form ∑n=1∞an where an=n52n10n+1. Obtain an+1 as…

Q: determine whether the series is absolutely convergent, conditionally convergent, or divergent.

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Q: Σ 1 1 2n 2n+1 n=1

A: Given query is to find series converges or diverges.

Q: Determine the behavior of the following SERIES. (4n²+5)" (3n+ 1)2n The series n=1 The series Σ(-1)",…

A: To Determine: The behavior of the following SERIES. 1. ∑n=1∞4n2+5n3n+12n 2. ∑n=1∞-1n 1ln n 3.…

Q: (d) 22n+1 п! n=1 (e) (-1)" arctan (n) Σ n2 n=1

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

Q: series is convergent or divergent.

A:

Q: Suppose that E °n·x" converges when x =-. 4 and diverges when x = + 6. n=1 What can be said about…

A:

Q: Determine whether the series is convergent or divergent.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: determine if the series is absolutely convergent, conditionally convergent, or divergent.

A:

Q: k sin?k 1 + k3

A: Let, ak=ksin2k1+k3