Let Σ an be a CONVERGENT series. n=1 Which of the following series MUST also be CONVERGENT? Select all the correct answers. ΟΣΚ Σ (an + 0.9") n=1 n=10 an OΣ (an+1 n=1 (an +1.1") Σ(απ - 0.110) n=1 ΟΣΦ n=1 An+2

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 represents the series? −13 + (−7) + (−1) + 5 + 11      b    c    d

A: given  series is  -13+(-7)+(-1)+5+11first term is   -13

Q: Which of the following series are alternating series? (Hint: It may be helpful to calculate the…

A: Let's find.

Q: А. Σ 5n –1 n=1

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Q: n=1 n 1 3n Зп I

A: A series is represented as where  is the coefficient of the series.It is given that . Here, the…

Q: Identify the function represented by the following power series. co Σ(-1)k *k k=0 44

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Q: Find the recursive formula for the series given by 3/4 a1 = 1.5, an+1 = an 3/4"/2 a. a1 = /3/4, an-1…

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Q: which of the following series are not convergent? Select one: a. Lk-0 , sin(kt) O b. Ek-0 55t1 O c.…

A: As per the question, we need to find one series which is not convergent. Let us start from option…

Q: Find the value of the following series 1 a. Em=3m2_2n n²-2n

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

Q: PROVIDE SOLUTIONS TO THE FOLLOWING SERIES. SOLVE IF THEY CONVERGE OR DIVERGE +oo (-1)"n" sin" (±) Σ…

A: The given series are ∑n=1∞-1nnnsinn1n2n and ∑n=1∞cos2nn2+lnnn3 To test their convergence.

Q: Find the function represented by the power series. 00 X+5 10 n= 0 10 O A. X-5 10 O B. x² - 5 10 C.…

A: Proceed as shown below

Q: By suitably manipulating the geometric series E xn -1 < x < 1, you can calculate 1-x n=0 the sum of…

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Q: Determine the Maclaurin Series of sinx. a. Values of ?(?)0 and its derivatives up to sixth…

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Q: (– 1)" For the series calculate the sum of the first 4 terms, S4. 9n0.4 + 10 n=1 S4 Include several…

A: Series and error

Q: Which of the followings are divergent series? 5+2" 1. 00 II. En=1 4n-1 I. E (sin1) IV. E cos…

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Q: graph y=cos(x) and the first three non zero terms of the maclaurin series for cos(x). Then write…

A: This question can be solved by applying the expansion of Maclaurin series.

Q: Approximate e04.png •k a dx 1 — схп 0. using the first five terms of the series if a = 17, c = 5, k…

A: This is very complicated problem.We have to think deeply to solve this problem.Therefore I can solve…

Q: Find the value of the following series 1 a. Ση=3η2_2n

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

Q: A6. Let 1 an be a series. (a) State precisely what is meant by the phrase "-1 an converges". (b)…

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Q: Select all the series that are absolutely convergent.

A: We have to find out the absolutely convergent series.

Q: For what values of x does the series converge conditionally? Σ (-1)^(4x+7)" n=0 OA. x = -2 3 OB. X=…

A: This is a problem related to series and sum calculation. Based on the general formula we will answer…

Q: State where the power series Σ Select one: a. 7 b. 0 0 с. 2 O d. -7 O e. -2 Σ* m = 1 (x-7)" n² is…

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Q: To find: The nth term of the power series of lnx and cosx for the power n= 5 and for a value of x =…

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Q: The nth term of the series Esn sin n=1

A: Given:∑n=1∞Sinnπ2To determine the nth term of the series

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A: Given series is

Q: Find a power series for the function Select one: Σ n=0 3" a. Ο O b. b. Σ n=0 Ο (-1)" 3" 1 3" O od.…

A: