7. Determine the interval of convergence of the series n=1 * (x+ 2)" Σ n 3" Show the work that leads to your choice. 1 5 D) 3' 3 A) [-1, 5) B) [-5, 1) C) [-3, 3) E) None of these

Q: 10 Prove whether the series converges or diverges. cos(nn) a) E 2n-1 b) Σ c) E '(n!)² (2n)!

A: By ratio test and Lebinitz test we can give the answer for both questions.

Q: which of the following SSeries Converge 7n 2n2+1, tan

A: Series and sequences

Q: 8. Determine if the series diverg (-1)" a) /2n2-2 n=0 |

A:

Q: 25. Choose the series that is convergent: ΑΣ A) 1+ n n+1 B ) Σ- 2 n n 4n n1 ο Σ7m 3 n n 2 D Σν+1 +4n…

A: In order to identify the convergence of series from given options, apply the divergence tests as…

Q: -1) (x-2)* (k+1)3ª х — The series has radius of convergence 3. The interval of k=0 convergence of is…

A: Interval of convergence I=

Q: The geometric series (-5)* a) converges to 12 b) converges to 0. c) converges to - source was…

A:

Q: Find the interval of convergence of the power series

A:

Q: 23. Choose the series that converges: 2" b) Σ (n+1)! Θ ΣΙ2--] 3 Ο Σ 2 n-1 n=1 n-0 1 d) ο Σ n e) n=1…

A: a) Here, we find first few partial sum ,since lim sn as n approaches infinity does not exist.…

Q: 1) Cauchy Product For n € N, let and (-1)n an == bn == √n+1 n Cn == =Σan-k · bk. k=0 Show that the…

A:

Q: Find the interval of convergence of the series xn Σ n8" n=1

A: