The Maclaurin series for ln(1+x) is x−2x2+3x3−…. A student approximates ln(1+0.3) with the first two non-zero terms 0.3−20.32. Which of the following is the best upper bound on the magnitude of the error of this approximation?
a) 0.0027
b) 0.009
c) 0.045
d) 0.027