in the ratio test the series converges absolutely if p less than and give example if diverge (If the example is similar to your friend's, you will take zero) O O O 0 and 1 O 1

Q: 2k k! - Decide if this series converges or diverges Lk=1 (k+2)!

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Q: True or false: When an ER for every n, the series, converges if and only if the n=1 sequence of…

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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: Let a, b e R such that 2a + b = 5 (1) If the series a b n n +2 n=3 is convergent then %3D (ii) If a,…

A: Given a,b∈R such that 2a+b=5 (i) Given the series ∑n=3∞an+bn+2 is convergent The we have to find the…

Q: If a given series converges and each term is positive, then the square of the series also converges.

A: The statement is true.

Q: 00 Give an example of divergent seriesan and b, such that (a, + b,) = 1. n=1 n=1 n=1

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Q: 1 is convergent, and find its sum. Show that the series n(n + 1) n=1

A: we have to show that the given series is convergent and then we have to find the sum. ∑n=1∞1n(n+1)

Q: 2 Determine whether the following series converge or (a) (b) diverge. Give the sum of convergent…

A: Detailed explanation:Let's determine the convergence or divergence of the given series and provide…

Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Lu, by grouping the…

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Q: 8 2. If the series 4 5 16 32 +... converges, find its sum. Otherwise, say it diverges. 25 125 (A)…

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Q: 3. Find the interval of convergence of the given series. Show your work! (x- 7)" 27 (n2 + 1) n=0

A: Explanation of the answer is as follows

Q: 1.Does it follow that if an > 0 for all ne N, thenEn=1 an does not converge conditionally? Explain.…

A: We have to explain the given statement.

Q: (-1)"+2 En=1 The series E.- is conditionally convergent n² True O False

A: Alternating Series: An infinite series whose terms are alternatively positive and negative is known…

Q: The series 2 (-2)" is n=1 n4" +1 Absolutley convergent Conditionaly convergent O Divergent O None of…

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Q: 1 5. Determine whether the series S= >) converges or diverges and identify the test you used. (3n +…

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Q: 3-32 Determine whether Σ 2n +1 O JAGL n+1 5.2 9" obni 7. 3 + 10" 3,

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Q: 9. Consider the series ((a +5)/7 is the exponent of n.) For which values of a does this n(a+5)/*…

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Q: 5. The series ∞ n=1 (n + 1)² n! ... (a) is Absolutely Convergent (b) is Conditionally Convergent,…

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Q: (a) Suppose the infinite series an is divergent. Then for any constant c, the series n=1 > can is…

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