Math Chapter Wise question with answer

Q01 The coefficient of 1 z –1 in the Laurent's series expansion of () z 2 e z –1 about z=1 is- English · UPPSC Polytechnic Lecturer 2021 (I) Q02 Let a-2 be the coefficient of 2 1 z in the Laurent series of f(z) = () 3 2 z +1 z z +1 around z = 0 in the region 0... English · Bihar (TRE 1.0) -2023 Q03 The principal part of the Laurent series of 1 f(z) = z(z –1)(z – 2) in the annulus { } z:0 < z < 1 is - English · UPPSC Polytechnic Lecturer 2021 (I) Q04 For the function () -z 1-e f z = z the point z = 0 is a/an English · Bihar (TRE 1.0) -2023 Q05 Let g be any positively oriented circle whose centre is at the origin. Then the value of the integral ∫ 2 γ cosz dz... English · Bihar (TRE 1.0) -2023 Q06 Let f: C → → → C be an entire function with f (0) = 1 and f (1) = 0. Then f maps English · Bihar (TRE 1.0) -2023