Mathematics · Complex Analysis
Which of the following is correct about the residues of the given functions?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Resz=i z1/2(z2+1)2 = 1+i8√2, with |z| > 0 and 0 < arg(z) < 2π
- 2Resz=3i z+1z2+9 = 3+i6
- 3Resz=-1 z1/4z+1 = 1-i√2, with |z| > 0 and 0 < arg(z) < 2π
- 4Resz=i log(z)(z2+1)2 = π + 2i8✓
Correct answer
Resz=i log(z)(z2+1)2 = π + 2i8
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