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here = 6, b = 2 and c = 7 3. Let p be the remainder when c is divided by 2 and ci if

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here = 6, b = 2 and c = 7 3. Let p be the remainder when c is divided by 2 and ci if p = 0 f ( 2 ) = (z - ai) (2 - bi) if p = 1 (z + bi) (z + ai) and R = la - bl. (a) Substitute the values of a, b, c and p and write down f(z) and the value of R. (b) Can you Taylor expand f(z) everywhere? If it is not Taylor expandable everywhere, write down the points where it is not Taylor expandable. (c) If the value of p is 0, zo = ai otherwise zo = -bi. Find the Laurent expansion (you must show your work) at z = zo about the punctured disk 0

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