The series ln(1+x)=x−2x2+3x3−4x4+⋯ converges for −1<x≤1. When x=0.3, which of the following represents the smallest integer n such that the polynomial obtained by truncating after the xn term approximates ln(1+0.3) with error magnitude less than 0.001?
a) n=3
b) n=4
c) n=2
d) n=5