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Complex Variable (Circle; Contour)

See attachment for better formula representation and theorem 5.

For each of the following use Theorem 5. to establish the indicated estimate.
a. If C is the circle |z| = 3 traversed once then:
| Integral C ( dz/ z^2 - i) | < 3pi / 4


Solution Summary

This solution contains a step-by-step proof for the length of the circle.