1 25 +1 125 - O convergent divergent If it is convergent, find its sum. (If an answer does not exist, enter DNE.) 6. 19

Q: 3n + 4 A) B) none of these 4 10n 3n +4 lim 4 10n #0 has NO HOPE of convergence since n00

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Q: 2n 15. Let a= 3n +1 a. Determine whether (a,) is convergent. Answer Yes b. Determine whether a, is…

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Q: 0.7 The series A=2 nlogn Ans'- A) Convergent ) clwergeut to too o divergeut to -s Is Oscillating

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Q: (-1)*. 5n' +n a. Absolutely Convergent b. Conditionally Convergent с. Divergent

A: We have to test

Q: (2x + 1)" Find the INTERVAL OF CONVERGENCE of the power series n3/4 3" n=1

A: If you like the solution then please give it a thumbs up.. The Answer is:     Result:    Interval…

Q: (-1)' n² + n n* + 2n+1 Absolutely Convergent a. b. Conditionally Convergent с. Divergent

A: Find the aboslute converges of the series using limit using series

Q: 5n+5 Determine whether the series Ln=1 n+1 is convergente or divergente.

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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: 8 (iv) [(-1) n=1 n :)" sin n n+1 [ Select] [Select] is conditionally convergent is divergent. is…

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Q: 100 Ln=1 a. Converge 3 b. C. d. Diverge (-3)2+1 is 23n 318 338 8 b 2 2 0 J d a *

A: The objective is to check the convergence or divergence of the series.

Q: 2" (x - 4)" converge? 17. For what values of x does the series n=0

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Q: 1+2n 4) De termine whether the serics Converges 37 diverges. If it converges, find its Sum. A) 2 c)…

A: Given:     ∑n=1∞ 1+2n3n

Q: (-1)*+12"(a – 1)² n · In(3) n=1 When a=0.5, (-1)*+12"(0.5 – 1)" n· In(3) n=1 Using p-series test,…

A: The given series is ∑n=1∞-1n+12na-1nn.ln3 Here a = 0.5 is given. Hence the series becomes,…

Q: nxn 5) Find all values of x for which Σn=1 (n+1)(2x+1)″ converges absolutely.

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Q: 1 1 +,++ 1 1 1 1 x = _ а а b and let and Dn On n-1 be, respectively, the last and Qn-1 last but one…

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Q: (3х + 1)^+1 ? 2n +2 What is the interval of convergence of the series Ln = 1 2 sx<0 а.

A: Given:

Q: +00 1 Σ n=3 n · . Inn - +00 Σ m=1 3η5 + cos2 n – 1 4m? – 15 + π

A: The given problem is to determine the given series is convergent or divergent using convergence…

Q: 6n+5 is Ln=1 5n+1 Determine whether the series convergente or divergente.

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Q: Question 8 1 4n2 – 8n + 3 convergent divergent Question 9 WI

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Q: 1 1. Determine whether I = dr converges or diverges. If it converges, find its value. (6 13/17

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Q: n + 3 {Asequence n + 4 Sn=1 converge to e converge to e-lO converge to ei diverge

A: Given:           Sequence ∑n=1∞n+3n+4n     By limit comparison test   If limn→∞anbn=∞ ,then ∑n=1∞bn…

Q: Sn+(-1)") The sequence Converges to 1 Converges to 2e Diverges Converges to 0 Converges to e

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Q: 6 Let an 3n + 1 (a) Determine whether {a,} is convergent. convergent O divergent (b) Determine…

A: We can find the answer as below.

Q: (-1)^(2n-7," 5n +2 n = 1 Select one: a. NOTA b. diverges C. converges absolutely d. converges…

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Q: 6n Let an %3D 7n + 1 (a) Determine whether {a,} is convergent. O convergent O divergent is…

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Q: n2+1 The series n=1 2n3+1 8. E +5) is ans. convergent divergent nothing can be said oscillatory POCO…

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Q: 100 Two series E, x, and Yn that both diverge but where , xnYn converges.

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Q: (-1)"n 25. The infinite series > is 2n +1 (a) absolutely convergent (b) convergent but not…

A: option (B) is correct

Q: SELECT ALI n! (2n – 1) A) converges by Divergence Test 2 B) a, = 1.3-5 ..... 2n C) diverges by…

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Q: 2n Let an %3D 3n + 1 (a) Determine whether (a,} is convergent. convergent divergent (b) Determine…

A: Given: an=2n3n+1

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

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Q: (-1)**l а, Ans. Converges, 0 7) 2n –1 2n 8) an Ans. Converges, v2 n+1

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Q: Q.14) A sequence {()L a) converge to 3 b) diverge lecreasing

A: According to the guidelines, we are answering first question. Please repost the remaining.…

Q: uestion 10 13n The sequence n 14 + 81n² OA diverges O B. None of these 13 Oc. Converges to 81 13 O…

A: Sequence convergence problem....

Q: 8.9.11 Determine if the improper integral is convergent or divergent, and calculate its value if it…

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Q: ) De termine the given Segunence converges or diverges: 8.

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Q: 39 and 47 please ??

A: You have posted multiple questions. As per the instruction, we will be answering only the first one…

Q: Q1)Test for convergent and divergent : (show your work) e-2 1. En=1 n+cos²n 9n 2. Σο-1 Ln=1…

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Q: 2n Let an= 7n + 1 (a) Determine whether (an} is convergent. convergent divergent (b) Determine…

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Q: Σο (-1)*+1 5n1.1 n=1 A. absolutely convergent B. conditionally convergent C. divergent O00

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Q: 2n+3 5) Does the series converge or diverge? Provide a proof sequence as your answer. Make sure 5n+1…

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Q: Using Sandwich Theorem 3n2 + 1 an = (-1)" n³ – 4 converges to 0 O converges to -1 O none of them O…

A: We have to find the limit by using sandwich theorem,…

Q: (7-8)* 8. The interval of convergent for the series اخرأحد الخيارات (7,9) a O [5, 7) b O [6, 8) cO…

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Q: n (I) If the limn0o (1+ = e, then the series a, is (i) (ii) (iii) Converge Diverge Inconclusive ..

A: To find whether the series converge or diverge.

Q: n1/2 3+ cos (n) A) diverges B) converges Wi

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Q: 10 as a power series f(x) = >) Σ Represent the function Cnx" (1 — 5ӕ) n=0 Co C2 = C3 = C4 Find the…

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Q: series onvergent, 8· 16 · 24 · (8n) .... n! n = 1 O absolutely convergent O conditionally convergent…

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Q: 1. Let n be the natural numbers 1 an = (-1)"e"³ sin" 2en and A. Find out if En=1an : -Absolutely…

A: Since you have asked multiple question, we will solve the first question for you.If you want any…

Q: Corollary 11.3.3. Suppose Do anc" diverges for some real number c. Then Eo anx" diverges for all æ…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.