Unformatted text preview: ∞∞ 1 ( x 31) dx, p.v. Z ∞∞ sin x x ( x 2 + 1 ) dx 5. Let C be the counter clock wise oriented circle around the origin of radius 2. For each function f indicate if it is true or false that R C f ( z ) dz = 0. f ( z ) = 1 z ( z1) , f ( z ) = sin z, f ( z ) = tan(10 z ) , f ( z ) = 1 z 2 + 5 6. Find the decomposition into simple fractions for 1 z 2 ( z1) 2 , z z 3 ( z2) 1...
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 Summer '07
 Lim

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