神马作文网大一高数 看仔细啊
来源：学生作业帮 编辑：神马作文网作业帮 分类：数学作业 时间：2024/11/18 05:08:47
大一高数
看仔细啊
看仔细啊
y = 1/(x^2 + 5x + 6) = 1/(x + 2) - 1/(x + 3)
y^(100) = 100!/(x + 2)^101 - 100!/(x + 3)^101
Mathematica:
In[24]:= D[1/(x+2)-1/(x+3),{x,100}]
Out[24]= 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000/(2+x)^101-93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000/(3+x)^101
y^(100) = 100!/(x + 2)^101 - 100!/(x + 3)^101
Mathematica:
In[24]:= D[1/(x+2)-1/(x+3),{x,100}]
Out[24]= 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000/(2+x)^101-93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000/(3+x)^101