Find the sum for the infinite series if they are convergent. Use the proper Test to determine whether the series are convergent or divergent.

Q: Determine if each series converges or diverges.If convergent find its sum

A:

Q: Determine if the series converges or diverges.

A:

Q: Indicate which test can determine if the series converges or diverges.

A:

Q: Determine whether the series is convergent or divergent. 1 + 8" n = 1 O convergent divergent If it…

A:

Q: Determine whether the series is convergent or divergent

A:

Q: Determine whether the series is convergent or divergent. n=1 convergent divergent If it is…

A:

Q: Determine whether the series is convergent or divergent.

A:

Q: 3 9. Σ — п(п + 3)

A:

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum (as in…

A:

Q: Determine whether the series is convergent or divergent by expressing the nth partial sum s, as a…

A: Expressing terms as a telescoping sum:∑n=4∞ 8n2-14∑n=4∞ 2(n+1)(n-1)4∑n=4∞ 1n-1-1n+1∑n=4∞…

Q: Determine whether the series converges or diverges. If it converges, find its sum.

A: The given series is ∑k=1∞e11k-1-e11k+1-1. We know that an infinite series converges if its sequence…

Q: Determine whether the series is convergent or divergent. 1+ 7" O convergent O divergent If it is…

A:

Q: use the ratio test to determine whether the series is convergent or divergent. identify an.

A: Using the ratio test,  we will determine whether the series is convergent or diverges

Q: determine if the series converges or diverges:

A: Alternating Series Test A series of the form ∑an=-1n·bn will be converging is it satisfies the…

Q: Determine whether the series is convergent or divergent by expressing n s as a telescoping sum, and…

A:

Q: Determine whether the series is convergent or divergent. n - 1 5n - 1 n = 1 convergent divergent If…

A: Given:    Limit equations is given

Q: Find if the series converges or diverges

A:

Q: п — 1 n Зп — 1 n=1 8.

A:

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. бn Σ…

A:

Q: converges

A: It is a positive term series

Q: Σ 2, n=1

A:

Q: Determine whether the series is convergent or divergent. n = 1 convergent O divergent If it is…

A:

Q: Use the ratio test to determine if the series is convergent: 3"

A:

Q: Use the Direct comparision Test to determine whether the infinite series is convergent.

A: Given,          ∑n=1∞1n2n

Q: Determine whether the series is convergent or divergent. 00 2 arctan(2n) n = 1 O convergent O…

A: ∑n=1∞ arc tan (2n)

Q: Determine whether the series is convergent or divergent. 1+ 5" n- 1 convergent O divergent If it is…

A:

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum.

A:

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum n- 1…

A: Solution by using telescopic series sum :

Q: (-1)n-1

A:

Q: Determine whether the series is convergent or divergent. n = 1 n O convergent divergent If it is…

A: Given: The series is given as,

Q: Determine whether each series is convergent or divergent. If it converges, find its sum.

A: If a geometric series is said to be converges then the modulus of  common ratio of the series will…

Q: Determine whether the series is convergent or divergent. Σ 1+7 3" convergent divergent If it is…

A:

Q: Determine whether the series is convergent or divergent. 1 + 40 50 n= 1 convergent divergent If it…

A:

Q: Determine whether the series is convergent or divergent. 1+ 4' n = 1 O convergent O divergent If it…

A: We are given the series ∑n=1∞1+4n5n. We need to check the given series is convergent or not. Notice…

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 5+ 2" 1.…

A:

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum n² + 1…

A:

Q: Determine if the series is convergent or divergent, if it is convergent find the sum.

A:

Q: 48 3. (-1)"-

A: Solution is as below

Q: Determine whether the series is convergent or divergent. Č (0.9)-1 – (0.5)"] n= 1 convergent…

A: Given series is                                                 ∑n=1∞(0.8)n-1-(0.5)n nth term of the…

Q: Determine whether the series is convergent or divergent. n= 1 convergent divergent If it is…

A:

Q: Determine if the series converges or diverges

A:

Q: 1 Σ 1 + () (3)" 2. 3D1

A: Consider the given series. ∑n=1∞11+23n It is required to be find whether the series is convergent or…

Q: Use the root test to determine if the series converges or diverges. Diverges Converges

A: According to given,

Q: Determine whether the series is convergent or divergent. -1 (2n)!

A:

Q: Determine if the series converges absolutely, converges, or diverges.

A:

Q: Find if the series is convergent or divergent

A: Step:-1 Limit Comparison Test:- Suppose that we have two series ∑an and ∑bn with an≥0, bn>0 for…

Q: Determine whether the series is convergent or divergent. 00 4 + 9n n 1 convergent divergent If it is…

A: first we need to find convergent or divergent of series

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum (as in…

A:

Q: Use the Ratio Test to determine the convergence or divergence of the infinite series.

A: Given: