Please write neatly. Thank you. b) Expand \( g(x)=\ln (1+2 x) \) in powers of \( x-1 \) (i.e. of order \( \mathrm{n}) \). Then write it as the Taylor series at \( a=1 \) when you have shown that \[ \lim _{n ightarrow \infty}\left| 1 answer