Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

1.I.5A

Complex Methods | Part IB, 2004

Determine the poles of the following functions and calculate their residues there. (i) 1z2+z4\frac{1}{z^{2}+z^{4}}z2+z41​, (ii) e1/z2z−1\frac{e^{1 / z^{2}}}{z-1}z−1e1/z2​, (iii) 1sin⁡(ez)\frac{1}{\sin \left(e^{z}\right)}sin(ez)1​.

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