lim, 3n+1 3 1/5 7n-3 7

Q: Write out the first five terms of the sequence (-1)" n2 , determine whether the sequence n=1…

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Q: n+5 a. (xn) = п-5 n² b. (xn) = %3D п3+1

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Q: lim,** 3 5n-2 0

A: Since you have posted a multiple question according to guidelines I will solve first question for…

Q: Find G(r) for the sequence such that a, = 2a,-1 - 8a,-2 + 2n - 4", ao 5, a1 = 0 Do not simplify G(r)…

A: Generating function of a sequence in general is,  G(x)=∑k=0∞akxk        =a0+a1x+a2x2+... In the…

Q: (d) 3n 2n + 1 8 n=1

A: We have to show that the given sequence  is convergent.

Q: Decide whether or not the infinite sequence is a cauchy sequence. If it is not a cauchy sequence,…

A: The given sequence   is Cauchy sequence. Here,                        Let  p be any natural number.

Q: Question 2 Answer the following. Do the best you can entering in mathematical statements into the…

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Q: 5. Find the limits of the sequence with the general term as given. You need not use the definition…

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Q: (ii) If (sn) is an unbounded decreasing sequence, then lim så -∞

A: Given that {sn} is an unbounded decreasing sequence. To show :- limn→∞sn=-∞

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: an + an-1 An+1 Vn +1 (a) Find the limit of an as n → ∞ and give a proof. converges for a,n from part…

A: Given, an+1=an+an-1n+1 the sequence is all positive number. (a) we need to find the limit of an as…

Q: Suppose (xn) is Cauchy and (yn) is bounded and monotone. Can we say anything about whether the…

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Q: Vn cos(nle") n +1 (n + 1)" (а) ап (b) b, = (c) Cn = 2n sin n nn+1

A: The given sequences area) an=ncosn!enn+1b) bn=(n+1)nnn+1c) cn=2nsinπn

Q: If it converges, what is its limit? Provide some justification for your answer. If it diverges,…

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Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an =n - Vn² - 18n 18…

A: an=n-n2-18n

Q: 3n+1 n→∞⁰ 7n-3 lim, 3 7 1 lim→∞ ((−1)" + −) does not exist. n

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Q: Write out the first five terms of the sequence. Find if the sequence converges or diverges (hint:…

A: NOTE: Refresh your page if you can't see any equations. . find the limit of the sequence

Q: converges

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Q: 9) 1-7 ヌミ

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