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Current Attempt in Progress If Σur and Σvk are convergent series, then Σ(uk + vk) and Σ(uk - vk) are convergent series and the sums of these series are related by 8 8 Uk Σ(un + Uk) = Συκ + Σ k=1 k=1 k=1 ∞ 8 Σ(uk - Uk) = Συκ -Σ Uk k=1 k=1 k=1 Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduced improper fraction, if necessary.

Current Attempt in Progress If Σur and Σvk are convergent series, then Σ(uk + vk) and Σ(uk - vk) are convergent series and the sums of these series are related by 8 8 Uk Σ(un + Uk) = Συκ + Σ k=1 k=1 k=1 ∞ 8 Σ(uk - Uk) = Συκ -Σ Uk k=1 k=1 k=1 Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduced improper fraction, if necessary.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 5 of 10 View Policies < Current Attempt in Progress > If Σuk and Σvk are convergent series, then Σ(uk + vk) and Σ(ur - vk) are convergent series and the sums of these series are s related by ∞ α 0 Σ(uk + Uk) = Σux + Σ -k=1 k=1 k=1 ο 8 Σ(ur - vk) = Σ k=1 k=1 Uk + 1 0 -Σ k=1 Uk Uk Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduced improper fraction, if necessary.
Transcribed Image Text:Question 5 of 10 View Policies < Current Attempt in Progress > If Σuk and Σvk are convergent series, then Σ(uk + vk) and Σ(ur - vk) are convergent series and the sums of these series are s related by ∞ α 0 Σ(uk + Uk) = Σux + Σ -k=1 k=1 k=1 ο 8 Σ(ur - vk) = Σ k=1 k=1 Uk + 1 0 -Σ k=1 Uk Uk Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduced improper fraction, if necessary.
Question 5 of 10 ∞ (2) Σ k=2 ∞ < Use the above theorem to find the sum of each series. NOTE: k=1 1 k²-1 (b) 7-kgk+1 k=1 Write your answer in the form of a reduced improper fraction, if necessary. eTextbook and Media 8 10k-1 3 k=1 2k+ 5k k=1 =
Transcribed Image Text:Question 5 of 10 ∞ (2) Σ k=2 ∞ < Use the above theorem to find the sum of each series. NOTE: k=1 1 k²-1 (b) 7-kgk+1 k=1 Write your answer in the form of a reduced improper fraction, if necessary. eTextbook and Media 8 10k-1 3 k=1 2k+ 5k k=1 =
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