Question

ind the approtade roin of analytlcidy fot eack complex fan.cfionse Logn. .of analy+icty far. .eac .CO +I

Answer 1

f(z) = z + i/z^5 + 1 f(z) is analytic everywhere except the point where z^5 + 1 = 0 i.e the Region, which is function is analytic R = {z elementof C\{z^2 + 1 = 0}} f(z) = log(z^2 + 7) f(z) is analytic everywhere except the point where z^2 + 7 < 0 i.e, Region of analyticity is R = {z such that Z elementof c\ (z^2 + 7 = 0)} f(z) = e^z + 1/z-3 f(z) is analytic everywhere except the point z = 3 i.e Region of analyticity is R = {z vert z elementof c - {3}}