Question Number 191568 by TUN last updated on 26/Apr/23
$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} \left({x}+\mathrm{1}\right)^{{n}} }{\left({n}+\mathrm{1}\right){ln}\left({n}+\mathrm{1}\right)} \\ $$