Question Number 55057 by gunawan last updated on 16/Feb/19
$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{Ln}\left({z}+\mathrm{1}\right)={z}−\frac{{z}^{\mathrm{2}} }{\mathrm{2}}+\frac{{z}^{\mathrm{3}} }{\mathrm{3}}−\frac{{z}^{\mathrm{4}} }{\mathrm{4}}+... \\ $$ $$\mathrm{for}\:\mid{z}\mid<\:\mathrm{1} \\ $$