(i) For |z| > 3:
We can use partial fraction decomposition to rewrite f(z) as:
f(z) = \frac{A}{z} + \frac{B}{2+z} + \frac{C}{2-z}
Multiplying both sides by z(2+z)(2-z), we get:
7z-2 = A(2+z)(2-z) + Bz(2-z) + Cz(2+z)
Now, we can solve for A, B, and C by
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