Which of the following series is divergent? 1 n=0 n²+1 1 + n4/3 n=0 5 n4 n= n=0

Q: Determine whether the following series converge or diverge. n° +3 ?+4 1 1. E (-1)" – II. E(-1)" -…

A: I∑n=2∞-1n2nn! we know that a series ∑an is called absolutely convergent if ∑an  and ∑anis convergent…

Q: Which of the following series converges? 3n A n + 2 n=1 3n В n2 + 2 n=1 Зп n2 + 2n n=1 3n? D n3 + 2n…

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Q: Which of the followings are convergent series? 5+2" 1. En=1 2"12 n=1 4n²-1 III. En=1 |(sin1)" ν. Σ…

A: ∑n=1∞ 5+2n2n+2Let un=5+2n2n+2un+1=5+2n+12n+1+2=5+2n+12n+3unun+1=5+2n2n+25+2n+12n+3…

Q: Which of the following series is conditionally 1 A) B) (-1)" Vn2 n-1 n=1 C) D) (-1)n+1 n3 +1 n-1 n=1…

A: The objective is to tell which series is conditionally convergent in the given series.

Q: Determine whether the following series are convergent or divergent: a) E + b) ΣLcos (Επ) /n *(n) /n²…

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Q: Which of the following series diverge? Σ II 1h n=1 yn +1 I. 5-2 III n=1 yn n=1 3"+2 I. and IL only.…

A: using the concept of comparison test, limit comparison test and ratio test...

Q: The following series is divergent: 7n-2 \" Σ n+5 n =1 Select one: O True O False

A: We can solve this as follows:

Q: Which of the following series is a convergent Geometric series? 6" a) OE 5" n=1 bb Σ1.05)" n=1 5 c)…

A: To find the Convergence of geometric series.

Q: Which one of the following series is divergent? 1 (A) 1 5n +n+7 (B) n3 + Vn n=1 n=2 5 (C) 5h (D) 9n…

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Q: Determine whether the following series converge or diverge. 4+ cos? n (5 – 4(In n)³)" Σ | 3n – yn…

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Q: The following series is divergent: n°-2 Σ 5n4 n =1 Select one: O True O False

A: Here,    an = n5-25n4nSince, there is n in power then root test will solve the problem:   an1n=…

Q: Which of the following series is divergent? ° 3n² 1+n² n=0 O n=0 n=0 8 4 n2n n=1 None of the given…

A: Solution :- Check each series for divergent :- 1. ∑n=0∞ 3n21+n2Apply the constant multiplication…

Q: Which of the following series diverge? I. cos (2n) n=1 II. 1 1+ - п n=1 1 n + n2 III. n= (A) II only…

A: Here we can use divergence test to check whether a series diverges or not. Divergence test states…

Q: Which of the following series is divergent? Σ n=0 n²+1 [(+)" 1 n=0 n4/3 n4 n= n ()" n=0 İM8 İM8

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Q: Which of the following series is converges or diverges. If the series converges, find its sum? 2n+2…

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Q: The following series is divergent: n5-2 Σ 5n4 n =1 Select one: O True O False

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Q: Which of the following series converge? I. E 2 II. E III. E1 A) I only. B B) None of them. C) Il…

A: We have to find which of the following series are convergent. 1. ∑n=1∞13+1n2. ∑n=2∞1ln n53.…

Q: Which of the following series is convergent? 15n O A. E (-1)" 8n +1 *-1 15и? - 8 O B. E (-1)*- 8n +1…

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Q: Which of the following series is divergent? Vn2 +1 5n2 +n n=1 In(n) n=2 1 Σ n(Inn)2 n=2 n2 3" n=1

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Q: Which of the following series converge? (- 1)" 1. Σ 1+ (1)" 2. E 1 /ln m = 1 /In n4 80 3. 1. E m = 1…

A: Solve the following

Q: Which of the following series is/are absolutely convergent? 1 1. Σ n=2 ninn 1 2. Z n=2 In(n!) 1 3. E…

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Q: Which of the following series converge? 2" + n1 I. 4" + n² n=1 4" II. ) 5n +n Tn=D1 n! III. 3n…

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Q: Which one of the following series is divergent? 1 1 (A) E (B) E 2n + n + 1 n2 + Vn n=1 n=2 1 (C) E…

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Q: 2. The following series is convergent 2n 1) É-1)" 3n+1 II) Ž(–1) : Зд+1 c) II only a) I and III d)…

A: Explanation of the answer is as follows

Q: Which of the following series is convergent? Select one: 72 5n A. 2n + 3 n=1 3n ов. 2n + 5 n=1 72 2n…

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Q: Which one of the following series is divergent by comparison test? n=1 n°+ 8 8. n6 Σ 10 n=1 n+9 Σ n-…

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Q: Which of the following series converge? 3n 2 I. En=11 II. En=2 in n2 III. En=1 Vn2+3 n+1 A) I only.…

A: for the given series

Q: 2n O A. 2 А. n =o n + 1 2n2 O B. Σ n = o n + 1 C. n = 0 E (e-") 1 O D. 2 ,2 n =o n + 1

A: We have to find

Q: Which of the following series diverges? a. an 3n b. an = e-n an = (-0.32)" d. an = (-0.4)-n %3D

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Q: Which of the following series converge? Inn I. T en + 2 n=1 II. I sin (n) n+n3/2 n=2 III. -1)" n2/3…

A: Answer is mentioned below

Q: Which of the following series converge? In n I. en + 2 n=1 sin (n) II. n + n³/2 n=2 23/2 III. -1)"n…

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Q: 3. Determine the convergence or divergence of the following series (a) E ()" ( b) Σ ( ) (e) Σ n3D1…

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Q: Which of the following series diverge? n sin 2 n=0 1 I. n=1 en II. + 1 n=1 A III only B I and Il…

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Q: Which of the following series is/are absolutely convergent? 1 1. Z n=2 ninn 1 2. E n=2 In(n!) 1 3. 2…

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Q: Which of the following geometric series are divergent? +00 +00 +00 ωΣ(5) «Σgn-1 α) Στ 3 n=0 n=0 n=1…

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Q: The following series is divergent: 5n3-2n2 2n Σ n2 +1 n=1 Select one: O True O False

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Q: Which of the following series converge? 1 II. En=2 Inn5 2 III. En=1 Vn2-1 100 1. Σ-1 Zn=13+ A) I…

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Q: Which of the following series is divergent? 1 n²+1 n=0 n 1 + n4/3 n=0 5 n4 n= n 3 n=0

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Q: Which of the following series converges and which diverges? -2 A) Σ Ans. Diverges (Integral Test)…

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Q: Which one of the following series is absolutely convergent? 4 E(-1)". n=1 n+ 5 00 6. E(-1)"-1 Vn +4…

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Q: Which of the following series should be used to determine the divergence of the series Σ, V5n2+2n+4…

A: Given :- ∑n=1∞5n2+2n+4n

Q: Which of the following series converge? (– 1)" 1. Σ 1 1+ m = 1 (1)" 2. E m = 1 /ln n4 in 3. 1. Σ m =…

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Q: Which of the following series converge? I. 1)" (n+ 1) 2п + 5 n II. 2 Tno +1 1.Σ n + 3 III. 2 In(n)…

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Q: Which one of the following series is divergent ? попe k = 1 k12 5 Σ k = 1 E, 5k-12 "k = 1

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Q: Which of the following series is convergent? 2 n 3 n=1 3 n n=1 O None of them. n 4 n=1

A: Check the condition of convergence and divergence.

Q: Which of the following series are conditionally convergent? arctan n (i) E(-1)": n=1 (ii) E(-1)"-1…

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Q: Which one of the following series is absolutely convergent? 00 4 2(-1)". n=1 n+ 5 2(-1)" Jn +4 n=1…

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Q: Which of the following series converge? . Σ3n7 II. En=2 n(In n)? 1 cos(nn) III. E=1 %3D1 2n-3 A) II…

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Q: Which one of the following series is divergent? 1 1 (A) (B) 5" +n+7 n3 + Vn n=1 =2 5" (C) E (D) 9n +…

A: Explanation of the answer is as follows

Q: Which of the following is a convergent p-series? Select all that apply. 1 n =1 7" 4 Σ n =1 n? 2 E…

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