Let f(z) = ((z – 3i)² + 9)ez- The Laurent series representation of f(z) in the domain 0 < |z – 3i| < ∞. (+r aE 1 a) (z – 3i)² + (z – 3i) + En=0 n=0\(n+2)! | n!) (z-3i)" 1 1 b) 2(z – 3i) + E-0 1=0 n! (z-3i)" c) 9 + 9(z – 3i) + En=2 (n-2)! + (z – 31)" 1 а. O b. С.

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A: Here we start the solution. Please check each step.

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Q: (1+x)

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A: Please check step 2 for the solution.!

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