5.(单选题,4.0分))将 (x)=(e)^x 展开成 x-1 的幂级数,展开式为( )。 ()-|||-A sum _(n=0)^infty dfrac (e)(n!)((x-1))^n(-xlt xlt +infty )-|||-B sum _(n=0)^infty dfrac ({(x-1))^n}(n!)(-infty lt xlt -infty )-|||-C sum _(n=0)^infty dfrac (e)(n)((x-1))^n(-infty lt xlt +infty )-|||-D sum _(n=0)^infty dfrac ({(x-1))^n}(n)(-infty lt xlt +infty )