22 + 5z +1 (z +i) Let f(z) = (i) Explain why 0 and -i are poles for f, and precise their order. (ii) Compute the residues of f(2) at each of its poles.

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.