For the power series of the form, \(∑_{i=0}^∞ a_i z^i,\) which one of the following may not be true?
Posted: Thu Jul 14, 2022 9:27 am
a) The series converges only for z=0
b) The series converges absolutely for all z
c) The series converges absolutely for all z in some finite open interval (-R, R) and diverges if z<-R or z>R
d) At the points z=R and z=-R, the series will diverge
b) The series converges absolutely for all z
c) The series converges absolutely for all z in some finite open interval (-R, R) and diverges if z<-R or z>R
d) At the points z=R and z=-R, the series will diverge