Teaching DSSSB TGT Mock Test 2025 Engineering Mathematics Complex Variables Residue Theorem

What is the residue of the function \(\frac{{1 - {e^{2z}}}}{{{z^4}}}\) at its pole?

1
\(\frac{4}{3}\)
2
\(\frac{{ - 4}}{3}\)
3
\(\frac{{ - 2}}{3}\)
4
\(\frac{2}{3}\)
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