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f (z ) = Log(1 − z 2 )
and state its radius of convergence. Refer to results discussed in class
to explain your answer. 10 (15 points) 9. Let Γ be the unit circle, traversed counterclockwise. Evaluate the integral
Γ z (3z − 1) 11 (15 points) 10. Evaluate the integral
I= ∞ −∞ x2 1
− 2x + 5 Explain brieﬂy how to relate I to the value of a contour integral, and then
use residues to compute it. 12 [Blank page]...
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- Fall '08