2+ 4" 1. 9 + 5" n=1 2. 5+ Vn³ n= 00 Σ 3. n7 – 25 n=2 1. IM:IM:İN

Q: Determine wether. is B ~ S n=1 convergent 3 3 (√²+1 = ³√n²+1) 8W n = 2 the (2n-3)! (2n-2)! Series…

A: we have to find if the given series converge or diverge  1)∑n=1∞(n2+1-n3+13)2)∑n=2∞(2n-3)!(2n-2)!

Q: the series E(- 1)n+1 n² – 6 n3 +2 n = 1 Select one: a. convergent absolutely but not conditionally…

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Q: If 2n=1a, converges, and if a„ # 1 and a,n > 0 for all n, a. Show that E=1a, converges. b. Does…

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Q: * 8 1-U 1=M 3 n = 2 (7) e n n³+1 = 20 Convergent / Divergent ? Conu. / Div. ?

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Q: 1 is not convergent. Theorem 1.8.2 E n = 1

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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: 52n 5n +1 n=1

A: Given that:- ∑n=1∞52n5n+1To find:- chek whather the series is convergent or divergentSolution:-limit…

Q: Consider an = V4n2 + 3n – 2n for n 2 1. - (a) Determine if {an}, n=1 is convergent or divergent (b)…

A: Here, an=4n2+3n-2n, n≥1     =4n2+3n-2n4n2+3n+2n4n2+3n+2n     =4n2+3n-4n24n2+3n+2n     =3n4n2+3n+2n

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: Σ. (-1)* 2n+3 R=1 Show you work separately and submit it u absolutely converges

A: Given ∑n=1∞-1π2n+3 taking constant out  ∑n=1∞-1π2n+3=-1π∑n=1∞12n+3

Q: 7N 8N 3) Show that converges/diverges.

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Q: The series 2 + Vn2 1+ Vna n=1 is convergent if and only if: Select one: O a. a > Ob. a Od. a < O e.…

A: As per guidelines we have to solve one question Please repost other questions again

Q: cot(8)de is a) converges to - 1 b) converges to - 2 c) converges to -n d) diverges e) None of all

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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: Suppose that dz converges. What can we conclude about the constant p? Op>1 Op Op< 3

A: Explanation of the answer is as follows

Q: Σ-- E(-1)*+1 n=1 + 1 (") Put 'CC' below if the integral converges conditionally, 'CA' if it…

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Q: Which of the following are convergent or divergent? Show your work. 72 i. En=2 lnn ii. En=1 3 1+ Vn…

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Q: If 2 a, converges, then la,| diverges. n=1 n=1 True False

A: Given statement is FALSE. I HAVE given a counter -example.

Q: Do the following scquences {a„} converge or diverge? Justify your answers. (a) an = 3 (b) an –…

A: "Since you have posted a question with multiple suparts, we will solve  three subparts (d), (e) and…

Q: If 2, =1ª, converges conditionally then E=|92| diverges 'n=D: Select one: True False

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Q: eries 1)" 2 + 5 rmine if the resulting series of constant terms wh ely convergent, conditionally…

A: We have to find the following conditions according to the given information

Q: 1 3. En=1 (2n+1)3

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Q: Determine whether E=1(-1)"+1. 2n converges or diverges. If it converges, find the sum. 3n

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Q: Which of the followings are true? 2" n1 n! 1. E is absolutely convergent. II. E 1 (-1)"-1 is…

A: see second step

Q: 16) If E an converges, then cos(am) diverges. n=1 n=1 a) True b) False

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: Determine if the given is convergent or divergent. (x²+1)² n Zn=1 (n²+1)²

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Q: O which of the following Is true? a)E nCat2 is divengent 4" OE nt Inn is convergent ne Inn d) is…

A:

Q: #1

A: the given series is

Q: 3 If Xn 4 and ly,l0. Select one: True O False

A: Given, xn → 4  and  yn≤31n2n for all values of n To determine whether ∑ xnynp  is absolutely…

Q: N 2N + 1 2) Show that converges/diverges. +

A: We have to show whether the series converges or diverges.

Q: Σ-). Vn? – 1 n=2 A. conditionally convergent B. absolutely convergent C. divergent

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Q: 2)(A) Determine of each point convergens or diverges: (1) 1 (215) ² n(5) 2n+1) (-2)"(x-3)" ΩΣΗ στο…

A: Note: since you have posted multiple questions. As per our guidelines we can solve only one problem…

Q: 5. If En-1 an converges, and if an +1 and a, > 0 for all n, (a) Show that E a converges. (b) Does E1…

A: Since, the sequence is a positive monotonically decreasing sequence, so, is also monotonically…

Q: The series (k+1)* is k=1 p°k! a) Converges absolutely b) Conditionally convergent c) Diverges d)…

A: Given : series ∑k=1∞k+1kpkk! To determine the convergence of the series and choose correct option.…

Q: Consider an = V4n² + 3n – 2n for n > 1. (a) Determine if {an}-1 is convergent or divergent n=1 (b)…

A: a) Given an = 4n2+ 3n   -2n Rationalize (4n2+ 3n  - 2n) (  4n2+ 3n  +  2n) (  4n2+ 3n  +  2n) = (…

Q: The series (k+1)* k=1_p*k! IS a) Converges absolutely b) Conditionally convergent c) Diverges d)…

A: The given series  ∑k=1∞k+1kpkk! is ; a) Converges absolutely b) Conditionally convergent c) Diverges…

Q: 2n+1 4. Use the definition to prove that ) converges.

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Q: 10.Does 00 sin? (n) 2n n=1 converge or diverge? Use any method and give reasons for your answers.

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Q: SELECT ALL A. what condition/s would suffice to ensure A) B) Žaln) S& a(n) S&-Ea(n) converges…

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Q: If 2(-1)" a, is absolutely convergente the n=0 na, is divergente. Select one: O True O False

A: Topic:- sequence and series

Q: 1 25 +1 125 - O convergent divergent If it is convergent, find its sum. (If an answer does not…

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

Q: п? + 12 6) E Зп? + 4n — 1 n=1

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Q: N + 1 2N 2) Show that converges/diverges. N-1

A: The given series is: ∑N=1∞N+12N+1 Let. aN=N+12N+1,N≥1

Q: Which of the followings are false? 1. 1. E sin converges by comparing with II. E Ln=1 n2 れ=1 n! n=1…

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Q: 1+! A) S diverges B) S converges absolutely n=1 1/2

A: Given that: S=∑n=1∞1n1+1n We have to check weather the given series converges absolutely or…

Q: (-1)"(7n + 1) Does En=1 converge or diverge? (3n + 1)

A: Alternating series test: If infinite series is If any of these two conditions does not hold, then…

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.

Q: 1 i. Use the result in (i) to test for convergence 2n =1 2 Vn? +5

A: See the attachment