10. For each series determine if it converges or diverges. In each case, show what test you are using and how you are using it. a. 00 > [2 In(n) – In(2n² + 1)] n=1 b. п!п! п! (Зп)! n=0

Q: For which values of x does the geometric series 2 2" x" converges? n D0 Select one: a. Ob. 12x >3…

A: Geometric series converges when |r| <1  Here r is common ratio

Q: α. 3 n Σ 4 n=1 |

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2. Determine whether the series converges or diverges and if the series converges, find its sum. E…

A:

Q: Σ+. Find the function represented by the power series ". Determine its interval of convergence.

A:

Q: Find all values of x for which each power series converges. Σ •a. (x +2)" l=ח

A:

Q: Expand the function , in a power series E a,x" with center e = 0. Find a,x". 7+8x n=0 (Express…

A: Interval of converges of the Power series

Q: Find the sum of the convergent series. 1+1/1/2+. 4+2 +1+

A: Given series 4+2+1+12+.....

Q: Determine whether each series converges or not. For the series which converges, enter the sum of the…

A: Note: As per Bartleby's guidelines, for more than four questions asked in the subparts, only three…