B. Determine whether each of the following series are convergent or divergent. i. Σ cos² n/(n²-3) ii. [1/√n! + 2 iii. Σ (n-3)/(n-√3n + 2)

Q: B. Determine whether each of the following series are convergent or divergent. i. Σ cos² n / (n² -…

A: The objective of this question is to determine whether the given series are convergent or divergent.…

Q: 2. X + 5y + 15 z + 35 w + 70t = 0 x + y + z + w + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z +…

A:

Q: Which of the following is an example of a series such that Σa, converges but Σa, diverges? Α.Σ (1) 3…

A: This is a problem related to series and sum calculation. Based on the general formula and concept we…

Q: 5. Determine whether the following series is convergent or divergent. 8 +n +1 ln(n) Σ [ (² + √2++) +…

A: To check: whether the following series is convergent or not. ∑n=5∞tann2+n+15n4+n+2+n2ln(n)n2-n+107…

Q: 2. Determine if each of the following series is absolutely convergent, conditionally convergent, or…

A: Given the given series is ∑n=1∞n2n3+2.

Q: C. Determine whether each of the following series are absolutely convergent, conditionally…

A: The objective of this question is to determine the convergence or divergence of the given series. We…

Q: C. Determine whether each of the following series are absolutely convergent, conditionally…

A: The given seriesi) ii) iii) We have to determine whether each of the series is absolutely…

Q: (a) k=0 (-2)2k+1 3k-1

A: The given series ∑k=0∞-22k+13k-1. We have to find the sum if it is possible.

Q: Evaluate the geometric series or state that it diverges. 1 (-1)" n=0| 2n 2n

A:

Q: 14n 11n2+7 n=1 (a) Evaluate the following limit. lim 14n n++∞ √√√11n² +7 = If the sequence diverges,…

A: since the lim(n>infty)=14n/√11n2 +7=14/√11 = 4.22115882, then we can conclude  that the series…

Q: Determine whether each of the following series are convergent or divergent. i. ∑ cos2 n / (n2 - 3)…

A: The objective of this question is to determine whether the given series are convergent or divergent.…