求指导3、5俩题1.求下列幂级数的收敛半径与收敛区域:-|||-(1)nx^n:-|||-(2) sum _(n=1)^infty dfrac ({x)^n}({n)^2cdot (2)^n}-|||-(3) sum _(n=0)^infty dfrac ({(n!))^2}((2n)!)(x)^n;-|||-(4) sum _(n=0)^infty (r)^(n^2)(x)^n(0lt rlt 1);-|||-(5) sum _(n=1)^infty dfrac ({(x-2))^2n-1}((2n-1)!);-|||-(6) sum _(n=1)^infty dfrac ({3)^n+((-2))^n}(n)((x+1))^n ;-|||-(7) sum _(n=1)^infty (1+dfrac (1)(2)+... +dfrac (1)(n))(x)^n;-|||-(8) sum _(n=0)^infty dfrac ({x)^(n^2)}({2)^n}

求指导3、5俩题