Math3364-PracticeFinal-F10

Refer to results discussed in class to explain your

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Unformatted text preview: r 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 ￿ ez I= dz . 2 Γ z (3z − 1) 11 (15 points) 10. Evaluate the integral I= ￿ ∞ −∞ x2 1 dx . − 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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