6. Σ(-1)n-1 sin (2) n=1

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

A:

Q: n 16) Σ In( Στ 3η + 1 n=1

A:

Q: Determine if each series diverges or converges.

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: ηλη Σ (2η)! n=1

A: The given series .The aim is to determine whether the given series is converges or diverges.Ratio…

Q: Σ [(-0.2)" + (0.6)" - 1 ] n=1

A:

Q: series is convergent or divergent.

A:

Q: 1 2 (FF3 √k + 3 1 √k +2

A: The given problem is to check whether the given series is converges or diverges and also find the…

Q: 00 2n+4" (1) E n=1n+6"+1 (2) En ( 3) Σ cos [(2n+1)!]? (1-2n)" 00 00 1 (4) E n" (5) E arctan n n=1

A:

Q: 1 (ii) 2n=2 13+1 100

A:

Q: 7 立。 3" 6 ) 5) 4) Ž 9 +2^ n! n+1 n=1

A: Limit test:  If the limit of sequence approaches to any finite number then the series is convergent…

Q: +00 1 4n2 – 8n + 3 n=1

A: The given series,       ∑n=1+∞14n2-8n+3

Q: 00 1 (n- 4)2 2. n%3D5

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: k sin?k 1 + k3

A: Let, ak=ksin2k1+k3