(Ь) n2n n=1 (0)

Q: u) 1 Σ(-3 ---) n

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

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: cos(n/3) In n (1+:)*

A:

Q: Determine if the given series is convergent or divergent.

A:

Q: Determine if the following series are convergent.

A: we have to check whether the series is convergent or divergent.

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

A:

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: 33. COS пл Зп + 2 n = 1 8 W

A: Given series ∑n=1∞cosnπ3n+2. The objective is to determine whether the series is absolutely…

Q: Determine whether the series converges or diverges.

A:

Q: E(-1)" (Зп — 1)! 5"(n!) n=1

A:

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

A: