Math Chapter Wise question with answer

Q01 The below power series expansion represents which analytic function? () () 4n+1 z / 2n! n = 0,1,2,..., z < 100 ∑ English · JSSC PGT 2018 Q02 Select the function f (z) from below that is analytic on the unit sphere z < 1. English · JSSC PGT 2018 Q03 Match the following: Series Radius of convergence (i) n n 0 nz ∞ = ∑ English · NVS PGT 2022 Q04 Consider the series () ∞ ∑ n 2 n=1 1 z +1 which of the following true? English · DSSSB PGT 2021 Q05 If (1 + i tanα)1+itanβ has real values only, then one of them is given by: English · UP PCS (Pre) 1996 Q06 If r r r Z cos isin, 2 2 then Z1.Z2.Z3....∞ ∞ ∞ is equal to: English · UP PCS (Pre) 2003