Consider the series -)*"*S" . Evaluate the the following limit. If it is n! n=1 infinite, type "infinity" or "inf". If it does not exist, type "DNE". an+1 lim = L n-00| an Answer: L = What can you say about the series using the Ratio Test? Answer "Convergent", "Divergent", or "Inconclusive". Answer: choose one Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent". Answer: choose one

Q: use the Limit Comparison Test to prove convergence or divergence of the infinite series.

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Q: Use the appropriate test to determine whether the series is convergent or divergent.  Infinity sign…

A: The answer is found in step-2

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Q: 10. Determine whether the series converges or diverges by using the integral test: Σnt n=1

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 2(-1)n - 1_3n 2"n3 n…

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Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used…

A: Given problem:-

Q: Use the Ratio Test to determine whether the series is convergent or divergent. -1 57 3nn³ 00…

A: To Use: The Ratio Test to determine whether the series is convergent or divergent. ∑n=1∞-1n5n3n n3…

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Q: > arctan (n) n=1

A: Given

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A: Explanation of the answer is as follows

Q: 00 3" n iM³

A:

Q: Determine the convergence or divergence of the series

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Q: 7 3 Σ n(2n – 1) 7*+1 n=1

A: Given The infinite series,

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A: See the detailed solution below.

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use to…

A: by the limit test the series is divergent.

Q: bro Use Yoots test to Cermine convergence ! divergence of given series. 00

A: Applying root test we have

Q: Determine whether the series converges or diverges.

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 00 5 cos(nt/3) n! n =…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 500500 n! n = 1…

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Q: Determine if the series converges. If it converges find the limit. (In n)2 an

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A: Take n2  common from the denominator and then go ahead

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A:

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A:

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Q: Determine whether the series is convergent or divergent.  En=1 infinity sign (3/pi)n

A: The answer is found in step-2

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.