Question 7 DINA Which of the following statements are true? 1. If the condition of the Divergent Test is not satisfied, then the series converges. 2. For any p > 1, diverges. 3. If both bn diverges, then anbn diverges. 2 and 3 are true an and O 1 and 3 are true Only 3 is true All true O Only 2 is true Only 1 is true 1 and 2 are true All false np

Q: Σ 2-2 (-1)" In n 1. Determine if the series is absolutely convergent. State which test you used, if…

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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∞

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A: The power series with center "a" is given by: ∑n=0∞an(x-a)n

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A: Given a sequence ∑n=1∞an having the partial sum Sn=2n for n=1,2,3,....

Q: Use either the ratio test or the root test to determine whether the series converge or diverge. k 3k…

A: (a) Consider the series ∑k=1∞3k+12k−5k Root test:- Let ∑ak be a positive term series such that…