100 4 n=1 n3+2 4 diverges by comparison to L=1 4 O converges by comparison to E 4 O diverges by comparison to =1 4 converges by comparison to 2n=17

Q: (x-2) What is the convergency interval of O aR O b. [1,3] O (1,3) O d. (-1,5) O e (-1,5]

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Q: The series 1 + Vn? 1+ Vna 00 n=1 is convergent if and only if: Select one: 72 a > Ob. 35 a * 35 4 O…

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Q: the series : 2 3 + 7 4 5 +... 3 Select one: a. diverges b. converges absolutely C. NOTA d. converges…

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Q: n log 2021 2n + 5° The power series ) (6x + 16)" n=1 has radius of convergence 2/5. has radius of…

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Q: 00 n-1/2 6 + cos (n) A) diverges B) converges

A: Given series is: ∑n=1∞n-126+cos2n

Q: 1 n=1 O a. converges O b. converges to -3 O c. converges to -1 O d. converges to 2 D e. converges to…

A: Explanation of the solution is given below...

Q: dx 3 (x-1)3 Select one: O a. diverges O b. converges to 1/16 O c. converges to 1/2 O d. converges to…

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Q: (-1)+1 Cos?n n= 1 Select one: a. NOTA b. converges absolutely C. converges conditionally because it…

A: We have to find which of the following option is correct for the given series.

Q: 4n The sequence an %3D 12 + 64n2 O A None of these O B. diverges 1 Oc. Converges to 16 1 O D.…

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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: The series 00 1 + Vn? 1 + Vna n=1 is convergent if and only if: Select one: Oa. 72 a > Ob. 35 a 4…

A: (.)   The given series is ,                                                        ∑n=1∞1+n281+na7…

Q: 3n3-2n2+4 6. Determine by the limit comparison test if Ln= n=D1 converges or diverges. n7-n3+2

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Q: cos? x+ 1 xp- By using the direct comparison test, the integral 4 x² - 1/2 O Converges O Converges…

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Q: e that xn → ∞ and yn → -00. Find examples of гоperty. e sequence {xn + Yn} converges to oo. e…

A: (a) Consider the sequence  xn=n2+nyn=-n Then…

Q: Q(3) The sequence 2n – 4n3 3n7 + n3. (a) Converges to: (b) Diverges (c) Converges to

A: Explanation of the solution is given below...

Q: COS n 9. The series > n3 n=1 (a) converges absolutely. (b) converges conditionally. (c) diverges.

A: There are various tests to check the convergence of series. One of test is if a series converges…

Q: n 2n – 1 n=1 Does this diverge or converge? Explain your answer.

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Q: dx too what can you deduce about Vx* + 2x+ 6 Select one: a. it is convergent b. non of them c.…

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Q: QUICK CHECK 5 Explain why E 0.24 k=0 converges and why E 2* diverges. k=0

A: Given- ∑k=0∞0.2k and ∑k=0∞2k To explain- why ∑k=0∞0.2k  converges and why ∑k=0∞2k diverges. Concept…

Q: Q8) The series 7 + 10cosn n4 n =1 a) converges by comparison test b) converges to 0

A: NOTE-By bartleby rules, only first two question has been answered. As per given by the question,…

Q: M(-1)+ cos?n n= 1 Select one: a. converges absolutely b. converges conditionally C. NOTA d.…

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Q: sin?x X. x=1 A-Converges B-Diverges C- Absolutely converges D-Conditionally converges A O B O D O c…

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Q: Which of the followings are true? 1. E1 \sin | converges by comparing with -1 II. E1 converges by…

A: Solution: (I) ∑n=1∞sin1n2 We know that sinx≤x Therefore, sin1n2≤1n2 Since ∑n=1∞1n2 converges, thus…

Q: 00 Σα Σα ? 28. Given that converges to L, which conclusion is valid for a n= n-1 A) It converges to…

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Q: dx -x 2-x Select one: O a. diverges to -x O b. diverges to x C. converges to -In(6) O d. converges…

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Q: 1 converge? Justify your answer. 3) For which a does n(ln n)ª n=2

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Q: dx too what can you deduce about Vxt + 2x+6 Select one: a. it is convergent b. non of them c.…

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Q: Vn + 5 Σ 3n2 + n + 1 n = 1 O converges O diverges

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Q: You are given that Cn (x – 3)" converges when x 8 and diverges when n=0 x = -3. Then the series > Cn…

A: Given power series: ∑n=0∞cnx-3n Also it is given that ∑n=0∞cnx-3n  is convergent when x=8 and…

Q: 1 9a) Which of the following describes E 'n=1 e¬n+e" 1 A) converges by comparison to E n=1 e-n 1 B)…

A: #  We are entitled to solve one question at a time, please resubmit the other question if you wish…

Q: n2+9 E(-1)"- n=1 n2+ 8 a) Show that the ratio test fails b) Test the given series for convergence.

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Q: n 3 The numerical series ) n' log .3 n3 n=3 O converges to a negative number. O diverges to-00.…

A: Using limit comparison test

Q: dx 4 x2-4 Select one: a. converges to -In 3 4 O b. diverges to -0 1 C. converges to -In 3 4 O d.…

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Q: 2 + Vn2 00 1+ Vna n=1 is convergent if and only if: Select one: 144 а. а > b. a 4 d. 35 a < 4 e.…

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Q: The radius of convergence for the power series (x – 3)²" is equal to 1. What is the interval of…

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Q: 1 (V3)" n = 0 convergent divergent If it is convergent, find its sum. (If the quantity diverges,…

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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: Vnt+3 n=0 O diverges O converges

A: As per our guidelines we are only supposed to solve first question in case of multiple questions

Q: Using Sandwich Theorem 3n2 + 1 an = (-1)" n3 – 4 | O diverges O converges to 1 O converges to -1…

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Q: 6n The sequence dn V10 + 25n? 6 O A. Converges to 25 3 O B. Converges to 3 OC. diverges 6 O D.…

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Q: The series -1() Lk=1 a ) converge to e b) converge to e-1 c) converge to 1 d) diverge e ) none

A: Given series is ∑k=1∞ k+1kk

Q: 1 SELECT ALL consider S= (1 + u^)ui (u + u/^)E A) S diverges by direct comparison, using to compare…

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Q: The series n=4 is convergent. The term a29 of the sequence {a,) given by 2 3 4 5 5'7'9' 11 is 31 63…

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Q: 00 dx O a. converges to 2 O b. diverges to od O C. converges to 1 O d. converges to -3 O e.…

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Q: 38 H.W: which series converge and which diverge, and if a series converge find its sum: 2. E-1y 3 n…

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Q: If dr converges, then which of the following must be true? Select one: a. Ln-1 n diverges. b. p<0…

A: We have to find the correct option.

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: 6) If an converges, then n=1 a) E converges. n=1 b) lim an = 0. n00 00 c) E(an)² converges. n=1 d) E…

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

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

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Q: the series : 2 3 3 5 Select one: a. converges absolutely O b. converges conditionally c. diverges d.…

A: Check the given series by limit comparision test.