Q27] expand the given function in a Laurent series valid for the indicated annular domain. f(2) Cosz 0 < lz| - 2 sinz f(2) 0 < Iz| %3D f(2) = e-/², 0< Izl 1 - e? 0 < /z] f(2) = e? f(2) = 0 < Iz – 1| %3D 1' -2 SOɔ 2 = (2)f 0< /zl

Q: 3. Find the Laurent's Series for 3 sinz 2 1/z f(z) = f(Z) (Z-)" e Hur felleu

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Q: 7. What is the value of (X-2)2 for the scores 2,3,5?

A: To find : ∑X-22 for the scores 2, 3, 5

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A: Use the given series, we will find the power series of the given function.

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A: Power series exaption of the function

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A: We will answer the first question only as we don't answer multiple questions at a time. Please…

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Q: Which of the following information is correct for the sequence 7. 9. dx 1 dx 1 dx 1 dx {an}n=l 5 (a)…

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A: We have given a complex variable function f(z)=1z(z-3i) for the given conditions for z. To find the…