7. Does the sequence converge or diverge? If it converges, then find the = 3n-√√9n² - n limit: bn

Q: 21

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Q: n" + sin(14n + 20) Determine whether the sequence an converges or diverges. If it converges, find…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit.    (a)…

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Q: Determine whether the sequence diverges. If it converges, find the Converges cr An- cos ( Pie, aiso…

A: To determine whether the below sequence converges or diverges. an=cosnπn+1

Q: Which of the sequences whose nth terms appear converge, and which diverge? Find the limit of each…

A: We find the limit of the an th term. limx→∞(an)=limx→∞1+(-1)nn=1+limx→∞(-1)nn=1+0=1

Q: (п +5)(п — 3) 1 | converges. If so, find its limit. n-1 Determine whether the sequence 4n?

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Q: 3. Determine if the sequence xn = 47² is convergent or not and find its limit if it exists n²+1

A: We want to find the given sequence is convergent or divergent.

Q: Determine the convergence or divergence of the sequence with the given nth term. If it converges,…

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an 13n n+6…

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Q: (c) an = (-1)". 2n n!

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Q: (a) (b) (c) +8 {√n+1 = √n+ 2 } 2 ONG e n=1 In n +00 n=1 n=1

A: First put 5 terms and find value and look at the limit as n is large.

Q: Determine if the sequence an sin (20n) converges or diverges. If it converges, compute its limit. If…

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Q: Let (x,) be a convergent sequence of real numbers and let (a,) and (b,) be subsequences of (x,) with…

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Q: c) Determine if the sequence b, sin(2an + 5) converges or diverges.

A: To determine whether the sequence converges or diverges.