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Unformatted text preview: C of the following functions: a) 1 e z-1-1 z b) e z-1 z c) z ( e 1 z-1) d) e tan 1 z e) z 2 sin z z +1 . 5. Evaluate the integral Z x 4 x 6 + 1 dx. 6. Find all possible values of Z 1 dz 1 + z 2 for all paths going from 0 to 1 such that the integral converges. 7. Let P be a harmonic polynomial of two real variables. Show that the conjugate har-monic function is also a polynomial. 8. Find the innite product expansion for e z-1....
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- Spring '09