For each of the following functions, show that every singular point is a pole, without using...

 

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For each of the following functions, show that every singular point is a pole, without using Laurent series. Determine the order m of each pole and find the corresponding residue (simplify your answers to a + bi form). Thoroughly explain your reasoning. sin z (2z - π)³ 2+3 z²(z²+2) (a) f(z) = (b) g(z) = For each of the following functions, show that every singular point is a pole, without using Laurent series. Determine the order m of each pole and find the corresponding residue (simplify your answers to a + bi form). Thoroughly explain your reasoning. sin z (2z - π)³ 2+3 z²(z²+2) (a) f(z) = (b) g(z) =

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