Big Assignment 3

Math 460

Test 3

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.

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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 .