1) Determine a so that the function is harmonic and find a harmonic conjugate.
2) Find the Taylor series of with center
3) Find all Taylor and Laurent series of Determine the precise region of convergence.
4) Determine the locations of singularities, including those at infinity, also state the order of poles for
5) Evaluate 2) Integrate C the unit circle.
6) Evaluate .
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Big Assignment 3
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