Solve the Problem Can Be Used to Estimate the Value Of

Multiple Choice

Solve the problem.
-The series $\ln ( \mathrm { x } ) = ( \mathrm { x } - 1 ) - \frac { ( \mathrm { x } - 1 ) ^ { 2 } } { 2 } + \frac { ( \mathrm { x } - 1 ) ^ { 3 } } { 3 } - \ldots + ( - 1 ) ^ { \mathrm { n } - 1 } \frac { ( \mathrm { x } - 1 ) ^ { \mathrm { n } } } { \mathrm { n } }$ can be used to estimate the value of $\ln ( a )$ for any positive real number a such that $0 < a \leq 2$ . Use the first five terms of this series to estimate $\ln ( 1.54 )$ . Round to the nearest thousandth.

A) $- 0.495$
B) $0.435$
C) $1.995$
D) $1.325$