x*e^(-x^2)和x/(1+x-2x^2)展开成x的幂级数x*e^(-x^2)和x/(1+x-2x^2)如何展开成幂级数一直没有弄懂
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![x*e^(-x^2)和x/(1+x-2x^2)展开成x的幂级数x*e^(-x^2)和x/(1+x-2x^2)如何展开成幂级数一直没有弄懂](/uploads/image/z/1613597-5-7.jpg?t=x%2Ae%5E%28-x%5E2%29%E5%92%8Cx%2F%281%2Bx-2x%5E2%29%E5%B1%95%E5%BC%80%E6%88%90x%E7%9A%84%E5%B9%82%E7%BA%A7%E6%95%B0x%2Ae%5E%28-x%5E2%29%E5%92%8Cx%2F%281%2Bx-2x%5E2%29%E5%A6%82%E4%BD%95%E5%B1%95%E5%BC%80%E6%88%90%E5%B9%82%E7%BA%A7%E6%95%B0%E4%B8%80%E7%9B%B4%E6%B2%A1%E6%9C%89%E5%BC%84%E6%87%82)
x*e^(-x^2)和x/(1+x-2x^2)展开成x的幂级数x*e^(-x^2)和x/(1+x-2x^2)如何展开成幂级数一直没有弄懂
x*e^(-x^2)和x/(1+x-2x^2)展开成x的幂级数
x*e^(-x^2)和x/(1+x-2x^2)如何展开成幂级数
一直没有弄懂
x*e^(-x^2)和x/(1+x-2x^2)展开成x的幂级数x*e^(-x^2)和x/(1+x-2x^2)如何展开成幂级数一直没有弄懂
x*e^(-x^2)=x(1-x^2+x^4/2!-x^6/3!+...)=x-x^3+x^5/2!-x^7/3!+...
x/(1+x-2x^2)=(1/3)/(x-1)+(1/3)/(2x+1)
=(-1/3)(1+x+x^2+x^3+.)+(1/3)(1-2x+(2x)^2-(2x)^3+.)
=-x+x^2-3x^3+.(|x|
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x*e^(-x^2)和x/(1+x-2x^2)展开成x的幂级数x*e^(-x^2)和x/(1+x-2x^2)如何展开成幂级数一直没有弄懂
积分e^(x-x^2),
*-----------------------------------------------*| 6 4 X | 8 X X | X X 5 || X X X | X X X | X 7 8 || X X X | X X X | X X X ||---------------+---------------+--------------- || X X X | X X X | 5 1 X || X X X | X 6 X | X X X || 8 X X | 3 5 X | 2 X X ||
e^x/1+2e^2x不定积分,e^x/(1+2e^2x)