Engineering Mathematics Complex Variables Residue Theorem

The Residue of \(\frac{1}{{{{\left( {{z^2} + {a^2}} \right)}^2}}}\) for z = ia is

1
\(\frac{1}{{4{a^3}}}\)
2
\(\frac{{ - i}}{{4{a^3}}}\)
3
\(\frac{{ - 1}}{{4{a^3}}}\)
4
\(\frac{i}{{4{a^3}}}\)

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