If the series S B 31 32 of k for which the alternating series error bound guarantees that S - S≤ 9 ? 10,000 33 ∞ 34 n=1 is approximated by the partial sum Sk =(-1)+1 72² n=1 (-1)"+1 1 1 '72' what is the least value

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Q: * Show that the sequence (xn)n>1 in R, where In = 1- Vn' converges to 1.

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Q: 3. Assume the sequence of positive numbers (sn) increases monotonically to infinity. Prove that Sn+1…

A: Let Sn be a sequence of positive numbers sn increase monotonically to infinity. ⇒limn→∞sn=∞     ∵ sn…

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Q: 6. Give an estimate of the size of the error when using the 50th partial sum S50 to approximatel the…

A: The answer provided below has been developed in a clear step by step manner

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A: We will use telescopic series to find the sum.

Q: yes, hi. I've seen another source, use set variables to 0 and then solve individually, answers are…

A: setting z=0 and solving for x and y. similarly setting y=0 and solving for x and z.

Q: an = aq"; bn = (-3)", dla n ≥ 2 oraz bo = b₁ = 0; 2n Cn = dla n ≥ 2 oraz co = 1, c₁ = 2. n!'

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Q: kpression for "12 times x."

A: Times means multiplication. Sometimes it is denoted by dot.

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Q: Find the partial sum Sn of the sequence an=log(n+5/n+6)

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Q: 32. Show if the series converges or diverges using the Alternating Series test 00 1n+1 Vn n=1

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A: Given ∑K=2∞1K72

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A: Given series is  ∑k=1∞2k9

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Q: Find the partial sum so of the series 4. thousandth. So = 9.3321661. .Approximate the answer to the…

A: ∑n=1∞9/n5

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Q: Estimate the error in using the partial sum of 50 terms of the series Error IM8 101 102 k8

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Q: By shifting the summation index of the following added series +00 +00 En(n-1),x"-4[n(n-1)C₁x"-2 +3 +…

A: Given that ∑n=2∞nn−1Cnxn−4∑n=2∞nn−1Cnxn−2+3∑n=1∞nCnxn+∑n=0∞Cnxn=0. Now, we only need to shift the…

Q: Find the sum of the series 22 +. 2 +n' 12 1 +n° as n 2n I +n

A: Solution is given as below: