y'(x)=(x+1)(x+2)â¦â¦(x+100) (缺x项ï¼
+x(x+2)(x+3)â¦â¦(x+100) (缺x+1项ï¼
+x(x+1)(x+3)â¦â¦(x+100) (缺x+2项)
+â¦â¦
+x(x+1)(x+2)â¦â¦(x+99) (x+100项ï¼
å½x=0æ¶ï¼åªæ第ä¸è¡ä¸çäº0
â´ y'(0)=1*2*3*â¦â¦*100=100!
âµ y= x(x+1)*â¦â¦*(x+100)=x^101+5050x^100+â¦â¦+100ï¼x
â´ y^(101)(0)=101!
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