Math Chapter Wise question with answer

Q01 A real valued bounded function f(x) is Riemann integrable on [a,b], then– English · SECTION B PGT TIER-I 31.11.2014 Q02 f is an entire function. If f satisfies the following two equations f (z +1) = f (z) and f (z + i) = f (z) for ever... English · Bihar (TRE 1.0) -2023 Q03 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 Q04 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 Q05 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 Q06 Consider the integrals I1 = () c, ∫ z 4 e dz z +1 where c is a circle z = 2 And I2 = c, ∫ 2 sin3z dz z, where c is... English · DSSSB PGT 2021