Which of the followings are divergent series? I. In2 +.. In7 In3 In4 In5 In6 II. E(-1)" n4+1 II. D(-1)" n–1 m%3D1 2n+1 3 6 + In6 7 +.. In7 4 IV. - - In2 In3 In4 In5 O a. I, II O b. I O c. II, II O d. I, IV O e. II, IV

Q: 3. What is the radius of convergence of the power series Select one: A. 00 В. о С.5 D. None of them.…

A: Power series related question......

Q: Which of the following is an example of a series such that Σa converges but Σ|a|diverges? Α.Σ." 3 n…

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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: 14. Three of the following series are convergent. Circle the one that diverges? а. n=1 3n b. 2 '2"…

A: we have to circle the one that diverges

Q: Which of the followings are convergent series? 5+2" n=1 2+2 00 1. 1 II. En 1 4n -1 00 . Σ (sin1)" .…

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Q: Which of these series, if either, converges conditionally? 1. - (−1)k k=√k (-1)k II. Ÿ (- 1)*…

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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 of the following series converge? 1 (1) E e n= 100 n 100 (II) (1) Σ 0.99999 n=1 n - 1.00001…

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Q: Which of the following gives the complete list of the convergent series among I, II, and III? 9n II.…

A: Using ratio test for I and III, Ratio Test:-…

Q: Which of the following series is convergent? O A. E(-1)*e* N-1 12n O B. E (-1)* 2n+1 OB. *-1 12n - 2…

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Q: Which of the following series is a convergent Geometric series? 00 5 a) 1 080 b) O(1.05)" 00 c) O…

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Q: -- 4. For the geometric series [a+ar+ar2+ar3+ the series converge to: -ar"-1]. If a=1 and r 1/2 А.…

A: According to bartleby guidelines I can solve only one problem, for more solutions please mention it…

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 converge? II. ΙΣ i=ing a © I, II., and III. I. only. III. only. I. and…

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Q: Which of the following is the sum of the series 3 9 if it converges? 1 O a. 1/4 O b. 1/2 O c. 0 O d.…

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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 is a convergent series? 1 n=1 1 nyInn n=2 00 2" n3 n= 00 n" n! n=1

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Q: 1. Which of the following series are power series? 3(х + 2)" In(n) (iii) (i) ::: 11 nx2n sin" (x) (x…

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Q: Which of the followings are divergent series? I. in2 in3 in4 in5 In6 In? II. E (-1)* n3D1 n*+1 II.…

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Q: 1 Find the sum of the following convergent series: > L n? – 3n + 2 - n=3

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Q: Which of the following series are convergent? 1 1 Зп + 1 (6)E: (ii) 5n2 +1 (iii) > n3 n=1 1+ n=1 n3…

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Q: Which of these series, if either, converges absolutely? 1.Σ - 11. * (- 1) K II. k+1 k=1 k=1 A. I…

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Q: Which of the following series is(are) convergent? 8. (I) ) n31 1 + 46 n32 n=1 n- 11 (II) n 9n n=1 n3…

A: To test which of the given series converges or diverges.

Q: 1 For what values of p does the series , diverges? I. p=1 II. p1 IV. p=2 O a. II, II O b. I, II O…

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Q: Find the sum of the geometric series for those x for which the series converges. > (x - 2)n n=0 1 1…

A: Given Geometric series as ∑n=0∞x-2n

Q: termine if the following series converges or diverges: 1 2 n In(3+ 7n5) n=1

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Q: The summation of the following geometrical series +. 1/3 2/3 2 1

A: As the given geometric series is infinite, do its sum is given by:' S=a1-r   Here, first term is…

Q: Find out whether the series given below converges or diverges. 1 4\n + /n n=1

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Q: Which of the following series is convergent? Select one: 2n O A. (n+ 1) n=1 В. 3n B. E 2n + 5 n=1 Σ…

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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: Determine whether the following series are convergent or divergent. 00 1 (ω Σ (In 7)" ' (b) n…

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Q: 13. Consider the four p-series listed below. Briefly explain whether each series converges or…

A: We have to tell about convergent and divergent ∑n=1∞ 1np is convergent if p>1   a) ∑n=1∞ 1n0.3…

Q: Which of the following is an example of a divergent infinite series whose general term tends to…

A: From the given infinite series, we have to find the divergent series whose general term tends to…

Q: Find out whether the series given below converges or diverges. 1 ( 4\n + n n=1

A: The given series is divergent by limit comparison test.

Q: Which of the following series converge? 1 I. III. Š (-1)" II. A) I only в ) I only I and Il only D)…

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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: 2n +3 Which of the following series are the same as the series in 3n +2 n=2 terms of convergence or…

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Q: Let ) Cn be a positive series. Which of the following is/are correct? n=1 I. If lim n/2cn Cn=3 then…

A: Here we use the comparison test.

Q: Which of the following geometric series is convergent? 1k =0 3 7k Σ 'k 0 3k 7k Σ. k = 0 3 7 Σ 'k = 0…

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Q: Which of the followings are convergent series? I. - + - n5 + ổ - +.. 1 1 In7 In2 In3 In4 In6 .…

A: Answer:  d. I,II

Q: Which of the following infinite series converge? n(n+2) En=1n+3)* i) tan-(1n n) i) 2n-1n(n+3) i) En-…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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

A: Cauchy condensation test, comparison test and ratio test are used for checking if the infinite…

Q: Which of the following gives the complete list of the convergent series among I, II, and III? 1 I.…

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Q: Which of the given series are convergent. • (-2)²n а) 5n-1 n=1 b) S (2n)! 4"n! n 6n7 + 8n5 8nº + 7n*…

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Q: Which of these series, if either, converges absolutely? 00 1 1 1.Σ(-1)* 1.Σ(-1)* 1 k=1 k=1 k+ k² +…

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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 is the sum of the series 1. if it converges? Ln=1 n³+3n² +2n O a. 1/8 O b. 0…

A: Here we have to find the sum of the given series.

Q: Which of these series, if either, diverges? ∞ - 1)k 1. II. Σ(-1)^ (77) K²+1 k=1 k k=1 A. I only B.…

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Q: Do the following series converge or diverge? Find the sum of any convergent series. For (a) and (b),…

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Q: Is the below statement True or False? 2"(6 – 2x)" is 3. The center of the power series E n = 0 e"n!…

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