If an> 0 for all n and lim A B D Σ n=1 8T n= n=1 an an 75 an 5" (a) 5" an+1 = 3, which of the following series converges? nxo an

Q: 2n n+ 3 -8 I. (-3)" n=1 1 II. 2" A) I only B) Il only III only

A: ∑2n/(n+3)n=1∞ ∑-8/(-3)^nn=1∞ ∑1/2nn=0∞

Q: 5. Determine whether the following series converges or diverges, and prove your answer: n 2n-j n=1

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Q: E n(n – 1)c,x" – 2 – 9 n = 1 Σ - 9 E nc,x" + - n = 2 n = 0 8 8

A: Concept:

Q: Suppose we are given a power series centered at 0 Σ anx". n=0

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Q: Given that eX =2 for -o0<x<0o, then a power series fore is: n=en!

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Q: Find the sum of the convergent series. 8 Σ n=1 8 9n2 + 3n - 2 2

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Q: n Consider the series Which of the following is equal to an+1 for this series? 2n n=1 an a. n + 1 2n…

A: Given query is to perform indicated operation.

Q: If series , an converges, then limn- an – an-1) = 0 m=D1

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Q: If the nth partial sum of a series an is n = 1 find an a1 and an n = 1 an Sn Σan n = 1 = = n - 3 n +…

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