For each series, determine whether it converges absolutely, converges conditionally, or diverges. (-1)" sin(n) (a) n3n (-2)¹ - 3n 4n (b) ∞ n=1 8 n=1

Q: 3η2 +1 5. E - 00 =1 6η2-2n+ 3 6 Σ(-1)"+ 1 - + 00 2n n!

A:

Q: Use the fact that (a) (1 − x)2 = Σ 00 Σ (3) n = 1 Σ nxn−1 to find the sum of each series. n = 1 ( Σ…

A:

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.) E…

A: We have to find the following conditions

Q: 3- Find the binomial series of the function f(x) = (1 – 2x)³ %3D

A:

Q: A6. Let 1 an be a series. (a) State precisely what is meant by the phrase "-1 an converges". (b)…

A:

Q: write out the first few terms of the series to find a and r, and find the sum of the series. find…

A:

Q: Expand the function , in a power series E anx" with center c = 0. Find a,x". 2+3x n=0 (Express…

A: Explanation of the answer is as follows

Q: Find the sum of the geometric series for those x for which the series converges. Σ(-1)" (²-6)* 9 n=0

A:

Q: Explain how to use the geometric series g(x) = 6 1+x function Select one: a. O b. C. replace x with…

A:

Q: Q.4 - Determine whether the series converges, find its sum. converges or diverges. If it n=1

A: To determine whether the given series converges or diverges .  If it converges then to find the sum.…