00 Σ (- 1)*k? k=1 yk° +9 Does the series Lak converge absolutely, converge conditionally, or diverge? A. The series diverges because E ak diverges. B. The series converges absolutely because E ak converges. C. The series converges conditionally because Eak converges but E ak diverges. O D. The series diverges because lim ak #0. O E. The series converges conditionally because E ak converges but E |ak diverges.

Q: 1 (Б) ' (1 + k)l/5 This series converges. eTextbo may or may not converge; it cannot be determined.…

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Q: 5(- 1.8) is an alternating geometric series, which O divergesO converges. k 0 E5(- 1.8)*: | k=0…

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Q: 1. En1(n + 1)²a" Find the interval of convergence of the series.

A: Question 1 is solved. Solving more questions are against the policy of bartalby. Use Raabe's test…

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A: Given series: ∑k=1∞-1kk5k12+4We need to to check its convergence.

Q: (-1)" 1+ yn n=1 true? The series converges absolutely. The series converges conditionally. The…

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Q: 26. The series converges when 2n A. r>1 B. r<1 C. r = 1 D. r = 0

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Q: 7-40 Determine whether the series converges or diverges. 00 38. Σ sin n=1 (1) n

A: 38. Given series is ∑n=1∞sin21n   To Determine: Whether the series converges or diverges.

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

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A: Here, we shall use the comparison test to conclude our solution.  The Limit Comparison Test for…

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Q: 8. Σ 3 k(ln(k))? Determine whether the series converges or diverges.

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Q: (-1)"n For what values of p is the series conditionally convergent? пР + 2 A 01 c) 1 2 only

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Q: state wether the series converges or diverges

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Q: ques8 provde hand written answer plz

A: The given series is ∑n=0∞-1n+13+n1/4.

Q: n=0 3n+1 Determine whether the series converges or not. n=0 n"

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Q: (- 1)" +1 Given the series , if p> 1 the alternating series n=D1 O converges absolutely O converges…

A: ∑n=1∞(-1)n+1np, if p&gt;1

Q: n!x" For what value of x the infinite series converges? n=1 n" B. x>e. O C. None of the choices in…

A: For the solution follow the next steps.

Q: (-1)* |k² +4 1. Determine whether the following series converges. 2 k=0→

A: we have to check convergence

Q: The series (-1)“- is a convergent series. Suppose , 6n – 3 = S for some real num бп — 3 n=1 n=1 76…

A: Series S=∑n=1∞-1n-16n-3=∑n=1∞an   a) Upper bound on the error of this approximation of S.…

Q: (b) Σ%1(-1)n+1 n2+5 n² +4 (b) Σ- (- 1)"+1

A: Alternating series.

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Q: Determine if the series converges absolutely, converges, or diverges. (-9)" 30) E 7n2 + 6n n=1 A)…

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Q: (-1)" n 00 is a convergent alternating series. It can be shown that the 5th n? The series n=1 3019…

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Q: k 5( – 1.2)“ is an alternating geometric series, which O divergesO converges. - k=0 E 5( – 1.2)* -…

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Q: 3. The value(s) of b for which the series E=50 is convergent are: 4 n3b2 B)는 C)- D)- (수-w-) n (") (M…

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Q: 17.) For the series E-o 5k81-k k=0 (a) Write out and simplify the 1st' 3 partial sums S1,S2,S3 (b)…

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Q: Find the values of x for which the geometric series converges. A) 0<z<} C)-<z< } B) 0 <z< D) -<2<0…

A: A geometric series ∑n=0∞an converges  if a&lt;1

Q: 1 23.) For the series E-1(-1)k - Vk2+1 (a)Does the series itself converge? Explain. (b)Use 2nd and…

A: (a) Given series ∑k=1∞(-1)k1k2+1 is an alternating series with the nth term, an=(-1)n1n2+1. Here, we…

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Q: How can I determine whether the series (-1)n+1e(-1/n+1) absolutely or conditionally converges or…

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Q: 1 (a) 2 k* + 9k + 1 k=1 This series 1 (b) > k=1 (2 + k)²/5 This series converges. diverges. eTextbo…

A: Given; a) Summation of 1/(k4+9k+1) ; k from 1 to infinity. b) Summation of 1/(2+k)2/5 ; k from 1 to…

Q: Given E (2x + 3) 2n + 1 (a) find the series' radius of convergence. n! n - 0 For what values of x…

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Q: Find the values of z for which the series E(-1)"- (n+2)(x – 3)" n(n+1)5" converges. n=1

A: To find  The values of x for which the given series converges.

Q: (-1)"+1 . 6 6 6. 6 6 The series ). ... 4n 4 8 12 16 n=1 converges by the Alternating Series Test.…

A: The error extimation for the alternating series ∑n=1∞-1n+1bn is Rn≤bn+1. Here, given ∑n=1∞-1n+1·64n…

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Q: For which value of p the series 1 n=1 is divergent? 1/8 8 the series converges for all p>0

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Q: n2 For which z E C does the series E converge? n=0 zn

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Q: If a geometric series converges to a / (1-r) if r] r<-1

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Q: (- 1)"(x + 2)" (n + 1)I Consider the series E n=0 (a) Find the series' radius and interval of…

A: Sn = ∑n=0∞-1nx+2nn+1! = ∑n=0∞anRatio test of convergencer =limn→∞ an+1anr =limn→∞…

Q: 5* k!k! 10. Use the Ratio Test to determine whether the series converges or - (3k)! diverges.

A: Question is solved.

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.

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A: We have to find the following conditions

Q: (-4n + 9)" (-n - 3)2n an = In this problem you must attempt to use the Root Test to decide whether…

A: We have to check