Let f(z) = ((z – 3i)? + 9)ez-si The Laurent series representation of f(z) in the domain 0 < |z – 3i| < o. a) (z – 3i)? + (z – 3i) + Ln=0 (n+2)! 1 1 n!) (z-3i)n 1 1 b) 2(z – 3i) + En=o] n! (z-3i)" 1 c) 9 + 9(z – 3i) + En=2 +2) (z – 3i)" | (n-2)!

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Q: Let f(z) = ((z – 3i)² + 9)ez- The Laurent series representation of f(z) in the domain 0 < |z – 3i| <…

A: Given function is fz=z−3i2+9e1z−3i. We have to find the Laurent's series representation of fz in the…