6. Show that the sequence is not convergent. {sin n}=1\

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A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…

Q: sin N 8) Show that converges/diverges.

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Q: Wi n=1 (-2)^ n! n^

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Q: Which of the following information is correct for the sequence 3 dx 1 dx 1 dx dx {an}n=1 | 5. 7. (a)…

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Q: 3 3) The Sequence of real function f(x) = x²+³ converges over a interval [1,1], dotally from th…

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Q: The bounded interval of the following sequence ( where n is natural number *:) is 2 sin?(3n)

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A: Sandwich theorem: If <an>, <bn> and<cn> are three sequences such that…

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Q: find if it converges ∑∞ n=0((4n)!(1103+26390n))/(3964n (n!))  (show each step please)

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Q: 1.) Prove that the sequence An= nt n In (2+1) converges to O. That is, prove limln (^+1)=0 nyo

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Q: Assume that the sequence shown below converges and find its limit. Võ, J8 + V5, 8+ /8+ võ 8+ /8+ /8+…

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Q: „(4 - 1) = "p : И

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Q: B){(sin(x))/x

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Q: (-1)" converges conditionally. Inn Show that n=2

A: For the solution follow the next step.

Q: 2) is E=1 2n convergent?

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Q: 12. Prove the following facts about the Fibonacci sequence (Fn): (1) (Chapter 10, #26) E-1 F =…

A: Given, The Fibonacci sequence (Fn) Fn=Fn-1+Fn-2, where F0=0 & F1=1

Q: Theorem 72. (Products of two convergent sequences) Let {px} be a sequence that converges to x and…

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Q: > The sequence {an) is n=1 (i) Converge (ii) Diverge

A: I have proved that sequence has more than one limit points.

Q: Converges or diverges

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Q: 1. Prove that the sequence {4+} converges to 4.

A: To know weather two function converge or not take difference of them and put limit to infinite. If…

Q: Which of the following statements is TRUE about the sequence {sin() The sequence converges to a…

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Q: gent subsequer O an = (-2)" O an = 1+ (-1)" · 10(-1)"-n n sin () %3D O an = O an = 1+2· (-1)"

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Q: a) {tan"(n²)} p-1 n=1

A: There are multiple question. As per company policy kindly ask other question separately. a. This…

Q: Is {-(n2)} n=1 to infinity, a convergent sequence in R with the usual metric?

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Q: 5. Find są and the maximum error for: n=0 Use the integral test for the error. (Hint, write the…

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Q: Suppose that the sequence {an} converges to a and that la| < 1. Prove that the sequence {(an)"}…

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Q: For the sequence {a_n}up ∞ down n=0 with limn→∞ a_n=0, this means the sequence diverges. T/F

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Q: Suppose xn2 0 for all n E N and the sequence (-1)"xn converges. What is its limit?

A: A sequence represented by say bn; if converges thenlimn→∞bn=0. It is important to note that the…

Q: (6n² + 1' Given the sequence prove that it is monotonic and bounded. Зп2 — 1 n=1

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Q: In(n) n a. Calculate the first 10 terms of this sequence. Based on these calculations, do you think…

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Q: Which of the following information is correct for the sequence 7. 9. dx 1 dx 1 dx 1 dx {an}n=l 5 (a)…

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Q: prove that the sequence (1/5^n) is convergent and approaches zero?

A: Series and sequences

Q: show that this converges 2srt(2)/(9801) ∑∞ n=0((4n)!(1103+26390n))/(3964n (n!)) = 1/pie (show each…

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Q: 3 Sn n+1 n+2 Show sequence { Sn} give in converaent. that the general ter Ms is

A: 3 Given that Sn=1n+1+1n+2+........+12n. We have to show that the sequence Sn is convergent. Since,…