Q 60 Out of the given options, which There may Series converge 1 right answer. be more than 1 a) n+5 6n +4 h =1 b) 8. 54 n=1 (c) = cos (1/n) n=1

Q: Find two pewer series solutiornis uf the given differential equation about the ordinary 0. if there…

A: To find two power series solutions of the below differential equation about the ordinary point, x=0.…

Q: -Show how the series converges absolutely COS s (3n + 1) n5 +4 N3D1

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Q: co s(n.n) 4- The series En=1 (n+1)2 A- Converges, B- Diverges, C- None

A: ∑n=1∞cosnπn+12 Here, an=cosnπn+12=-1nn+12 Now comparing with an=-1nbn, we get bn=1n+12 Now,…

Q: Suppose that Cn" (10 + z) Find the first few coefficients. Co = Ci = C2 = C3 CA Find the radfus of…

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Q: Σ Vn (-1)" COS n=1

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Q: Find all the values of x such that the given series would converge. (x − 6)" 6n n=1 The series is…

A: The series is convergent from x=0, left end included (enter Y or N): N to x=12, right end included…

Q: Form the Maclaurin Series formula for the expression In (x + 2). (5 terms) From the answer in number…

A: The given function is: .To Do:We have to calculate the Maclaurin series formula for the…

Q: 56) Which of the following statements are true? 1 а) 1+xl1dx = > (-1)" 11n + 1 n=0 c0.1 b) . 0.001…

A: We are entitled to solve only one question at a time. As the specified one is not mentioned, so we…

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

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Q: Which of the following infinite series converge? 3n(n2+2) En=1" (n +2)3 1 ) En=2 n(Ln n)2 tan-(cos…

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Q: 58) Which of the following statements are true? a) The integral dx converges. b) The seriesE)"…

A: We are entitled to solve only one question at a time. As the specified one is not mentioned, So we…

Q: In´ n n=2

A: Given query is to find the series converges or diverges.

Q: Obtain the sum of the seri Ean $a = -² 2 n=2 nn

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Q: of the following series are convergent? +00 cos(n + 1)x 3"n! 6) E Cos nx a) Σ n n=1 n=1 +oo n2 c) E…

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Q: а) nyn n=1 Σ >(-1)n+1 п c) 2" n=1 00 e) 2(-1)n+1, en n=1

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Q: State whether ths series converges absolutely, conditionally, or diverges

A: We have given series- We have to find if the given series converges absolutely, conditionally, or…

Q: 54) Which of the following series converge? n2 + 2 a) Σ п3 — п +5 n2 + 2 b) L n5 -n+5 п5 — п n=1 00…

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Q: Q 9) Does the series: ∞ ∑    1/4n-1 n=1   converge or​ diverge? Give a reason for your answer.…

A: Use series integral test.

Q: 44. For which positive integers k is the following series convergent? laga Σ (n!)? sw Mong pe n=1…

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Q: Which of the following series converges and which diverges? A) Š Vn n=2 Inn Ans. Diverges ( n"-term…

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Q: 00 2n+4" (1) E n=1n+6"+1 (2) En ( 3) Σ cos [(2n+1)!]? (1-2n)" 00 00 1 (4) E n" (5) E arctan n n=1

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Q: Use the Root test to determine whether each of the following series conve n" (5n - Зп3 a) 231+2n b)…

A: We can solve the given problem as follows:

Q: (n+n)" Let E, an = E %3D in=1 (n²+5)2n a} . Calculate Van. B] Deduce whether the series n3D1 an is…

A: Given ∑n=1∞an=∑n=1∞n2+nnn2+52n