6. Find A and B such that for all i 2 2 A B %3D 2 - 1 i-1 i+1' | and use this identity to express the partial sum S, = E2 2/(i² – 1) of the series Σ n2 - 1 n22

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Q: 7 - 8n 8. Let d, 4+ 3n (a) Does the sequence {dn}o converge or diverge? n=0 (b) Does the series > dn…

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

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Q: can you help me with B,

A: Solving for the part B,

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Q: 14. Use the definition of Taylor series to find the first four nonzero terms of the Taylor series…

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Q: Q1. Find all taylor and Laurent series with center z=zo 1) -- 2) ਦਾ 4z1 24-1 % = 1 Zo=0

A: Solution:

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A: Solution is given as below:

Q: By writing the summation of the two power series E=3 (n– 2)(n+1)c,x"-3+ En=0 Cnx" = 0, we obtain:…

A: Please see the answer below.