Determine whether the series (-1)"Inn Σ converges n = 2 √n conditionally, converges absolutely, or diverges.

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: Does the geometric series (-0.5)* converge absolutely? k=0

A: Provided a geometric series in the question.

Q: Investigate whether the series ∞∑n=1n3/(ln3)n converges or diverges.

A: Ratio tes: test for Series converge or diverges

Q: Determine whether the series's converges or diverges

A: we have given series ∑n=1∞ 4n+13n-2

Q: Determine whether each series converges absolutely, converges conditionally, or diverges 3" E(-1)";…

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Use the Root Test to decide whether 3 п the series EI is convergent or 8n+1) n = divergent.

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Q: Show that the series 2 - 2/4 + 2/9 - 2/16 ... is convergent by the alternating series test. and find…

A: The alternating series to be tested is ∑n=0∞(-1)n2(n+1)2.  Here, the nth term is an=(-1)n2(n+1)2 and…

Q: Give an example of a conditionally convergent series an such that Σna, con- n=1 n=1 verges.

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Q: Let ar be a conditionally convergent series, what can be said about E| akl? You must TYPE your…

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Q: 2. Prove that the p-series converges for p > 1.

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