2 With the aid of series, prove that if f(z) = COS Z Z-π/2 −1 when z = π/2, when z = π/2 then f is an entire function. Also write the first three terms of the series representation.

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Q: 1- Find &, and Ea of sin (x) for x = 2 with 1-8 terms of the series. sin(x) - Σ k-0 (-1)* (2k + 1)!…

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A: soln: step1: write a fx as a power series centered at c=-1fx=22-xwe know general formula power…

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A: Since you have posted multiple questions but according to guidelines, we will first question for…