展开全部
consider
1/(1-t)= 1+t+t^2+....
代入 t=2x^4
1/(1-2x^4) = 1+2x^4 +4x^8+...+ (2x^4)^n +....
x/(1-2x^4) = x+2x^5 +4x^9+...+x. (2x^4)^n +....
f(x)
= x/(1-2x^4)
=x+2x^5 +4x^9+...+x (2x^4)^n +....
n=25
f^(101)(x) =2^25 . 101! + o(x^0)
f^(101)(0) = 2^25 . 101!
1/(1-t)= 1+t+t^2+....
代入 t=2x^4
1/(1-2x^4) = 1+2x^4 +4x^8+...+ (2x^4)^n +....
x/(1-2x^4) = x+2x^5 +4x^9+...+x. (2x^4)^n +....
f(x)
= x/(1-2x^4)
=x+2x^5 +4x^9+...+x (2x^4)^n +....
n=25
f^(101)(x) =2^25 . 101! + o(x^0)
f^(101)(0) = 2^25 . 101!
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询