+oo +oo n² – 1 n2 +1 (-1)" (a) Σ (c) )un where sn = u1 +... + un = n! n=1 n=1 +oo 1 - 11 n=1

Q: Determine whether the following series converge or diverge. n b) Σ 5n n=1

A: The given series is .We need to determine, whether the given series is convergent or divergent.We…

Q: determine whether the series converges or diverges. If it is convergent, find the sum

A: Given series is,

Q: n 16) Σ In( Στ 3η + 1 n=1

A:

Q: 00 с 1. Š (1)"(nº +1) en n=1

A: As per our norms .we have to answer. One question at a time.. kindly repost remaining questions

Q: 4 7 n=1

A:

Q: For this series, decide whether it converges absolutely, converges conditionally or diverge. Justify…

A: By the Alternating Series Test, the series converges.Explanation:

Q: 1 7) E(-1)". n(Inn) n=2

A:

Q: Determine whether each of the following series converge or diverge. State which test was used

A: Given series ∑n=1∞cosn2+1.8n

Q: M8 n=1 (−1)n+1 /3n − 1

A: The given series are: (a) ∑n=1∞-1n+13n-12 (b) ∑n=1∞-1n+13n-1. We know that a series ∑n=1∞-1n+1an is…

Q: For each of the following series , determine whether they converge or diverge. Give evidence to…

A:

Q: 2n²(-1)" En=1 3n2+4n+1

A: given series is                                                         ∑n=1∞2n2(-1)n3n2+4n+1…