Mathematics

Problem

When a power series centered at

a

is integrated term by term to produce an antiderivative, what happens to the radius of convergence of the resulting series? a)

R_{\text{new}} = 2R

R_{\text{new}} = \dfrac{R}{2}

c) The radius of convergence remains unchanged,

R_{\text{new}} = R

d) The radius cannot be determined without analyzing each term.