Power series representations

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Reference no: EM13127635

Evaluate the following integrals:

a). integral over gamma of e^(iz) / z^2 dz, where gamma(t) = e^(it), 0=<t=<2 pi

( e here is exponential function).

Please use basic definitions and power series representation of analytic functions to do so.

b). integral over gamma of sin(z)/z^3 dz ( same gamma and values of t as above)

Reference no: EM13127635

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