2.利用已知函数的幂级数展开式,求下列函数在 x=0 处的幂级数展开式,并确定它收敛于该函数-|||-的区间:-|||-(1)e^x-|||-(2) dfrac ({x)^10}(1-x);-|||-(3) dfrac (x)(sqrt {1-2x)} ;-|||-(4)sin^2x;-|||-(5) dfrac ({e)^x}(1-x);-|||-(6) dfrac (x)(1+x-2{x)^2}-|||-(7) (int )_(0)^xdfrac (sin t)(t)dt;-|||-(8) (1+x)(e)^-x;-|||-(9) ln (x+sqrt (1+{x)^2}).