4(1). Find the Laurent series expansion for (22-1)(+2) in the annulus {1 < [z] <2}.
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- Find the fourth term of (3a22b)11 without fully expanding the binomial.4a) What is the Taylor series of the function 3x5 2x4 + 15x3 + 13x² 12x – 5 at the point c = 2?-1 Find the Laurent series expansion of the functi on 2 =1<3 (:+2)(: +3)2Q3(b). Find the Laurent series of the function in each of the following domains (z+1)(z-3) (i) |z|3.Suppose that f(x) and g(x) are given by the power series f(x) = 4 + 2x + 3z2 + 2a3 + ... %3D and g(x) = 5 + 4x + 5æ2 + 4x3 + .... By multiplying power series, find the first few terms of the series for the product h(x) = f(x) · g(æ) = co + Ca + C2æ² + c3x³ + . ... Co = C = C2 =Find the Laurent series expansionSEE MORE QUESTIONS