1 28. VR – 1 A k(Vk+1)

Q: est the convergence or divergence for this serie

A: To test the convergence or divergence for the below series. ∑n=1∞ n+10cosnπn1.4

Q: 24. Vnt +1 n³ + n n=1

A:

Q: In" x n n=1

A: Given the series, ∑n=1∞lnnxn. Here, an=ln xnn To find the region of convergence and absolute…

Q: 1 Σ n%3D1 n

A: The given series is ∑n=1∞1n-1n2n To find: Find convergence or divergence of the series.

Q: 1 hnd the seves Roc and 1oC (a) (b)

A: Given series

Q: 1-

A:

Q: 28 85 K=I 5ks+ 8K²³-9 tk

A:

Q: Σ(-1)" n=1 η 5 8ηγη

A: The given series has terms of the form         (-1)n 5/(8n√n)  So, it's an alternating series.  So,…

Q: by the divergence test

A: Given: ∑n=1∞1n To check: Series divergence. Divergence test: If limn→∞ an≠0 then ∑n=1∞an diverges.…

Q: Σ 8n2 (:)"] 1 1 16n + 6 - n=100 3.

A:

Q: e) 1 Σ Vn n=1 3 f) 5 3 п-1 п 8 W

A:

Q: Let br = sin-¹) and C₂₁ = sin Σ(1+bn) n=2 +00 Σ(bn – cn) m=? ou+ for all n N such that n ≥ 2

A: both of the series is divergent. see my solution below

Q: E(-1)* sin () i=1

A: Given : ∑i=1∞ -1isinπn

Q: 1+n + Vn n+ Vn4 + n² +1 n=0

A:

Q: Find the convergence region of the function series

A: In the question it is asked to calculate the convergence of function series given. Bartleby's…

Q: What is the use of conditional convergence and absolute convergence of an oscillating or alternating…

A: Let ∑n=0∞an be an oscillating series or an alternating series.

Q: k/k? + 1 k-1

A: Given the series:        ∑k=1∞1kk2+1 Check whether the series converges or diverges.

Q: +3)(n+4) n!

A: We use p-series test and limit comparison test to determine the convergence of the given series.

Q: (-1)"n*ort an 8. 4" n=1

A: See the details solution in below

Q: 32n +1 +00 n 5"–1

A: Determine the an and an+1 terms. an=32n+1n⋅5n−1an+1=32nn+1+1n⋅5n+1−1=32n2+2n+1n⋅5n