[(x^2n+2)^2-(x^2n-2)^2]/[(x^n+1)^2+(x^n-1)^2]的极限x趋近于无穷大,n是正整数

f(x)=e^x-x 求证(1/n)^n+(2/n)^n+...+(n/n)^n x^(n)*x^(n+1)+x^(2n)*x 若(x^2+1/x)^n(n∈N+,n 因式分解：(x^n+1)+(2x^n)+(x^n-1) x^n+1-2x^n+x^n-1因式分解 x^n-1-2x^n+x^n-1因式分解 分解因式x^n-x^(n-1)+x^(n-2) (x^4n/x^2n)*x^n x^n-2x^n+1,因式分解 x^2n-3x^n x^n*x^n+1*(-x)^2n*x+(-x)^2n+3x^2n-2*x (-x)^3x^n-1+x^2n(-x)^3 因式分解：x^(2n)+(2x)^(n)+4^(n-1) x^2n+(2x)^n+4^(n-1) 因式分解 m(x-y)^n+n(y-x)^2n因式分解 (x^2n-2)(x^8n+16)(x^2n+2)(x^4n+4) (x^4n+16)(x^n-2)(x^2n+4)(x^n+2)= (x^4n - 16) * (x^n - 2) * (x^2n + 4) * (x^n + 2)