关于e^cosx的马克老林展开,要求展到X^4项,教材上这样做:e^cosx=e*e^(cosx-1)=e*( 1 + cosx -1 +0.5*(cosx-1)^2)=e*( 1- 0.5*x^2+x^4/4!+ 0.5*( -0.5 *x^2 )^2 )为什么要提出e 有人说,不提e 就不是在x=0处的展开,也就不是马
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![关于e^cosx的马克老林展开,要求展到X^4项,教材上这样做:e^cosx=e*e^(cosx-1)=e*( 1 + cosx -1 +0.5*(cosx-1)^2)=e*( 1- 0.5*x^2+x^4/4!+ 0.5*( -0.5 *x^2 )^2 )为什么要提出e 有人说,不提e 就不是在x=0处的展开,也就不是马](/uploads/image/z/14591429-53-9.jpg?t=%E5%85%B3%E4%BA%8Ee%5Ecosx%E7%9A%84%E9%A9%AC%E5%85%8B%E8%80%81%E6%9E%97%E5%B1%95%E5%BC%80%2C%E8%A6%81%E6%B1%82%E5%B1%95%E5%88%B0X%5E4%E9%A1%B9%2C%E6%95%99%E6%9D%90%E4%B8%8A%E8%BF%99%E6%A0%B7%E5%81%9A%3Ae%5Ecosx%3De%2Ae%5E%28cosx-1%29%3De%2A%28+1+%2B+cosx+-1+%2B0.5%2A%28cosx-1%29%5E2%29%3De%2A%28+1-+0.5%2Ax%5E2%2Bx%5E4%2F4%21%2B+0.5%2A%28+-0.5+%2Ax%5E2+%29%5E2+%29%E4%B8%BA%E4%BB%80%E4%B9%88%E8%A6%81%E6%8F%90%E5%87%BAe+%E6%9C%89%E4%BA%BA%E8%AF%B4%2C%E4%B8%8D%E6%8F%90e+%E5%B0%B1%E4%B8%8D%E6%98%AF%E5%9C%A8x%3D0%E5%A4%84%E7%9A%84%E5%B1%95%E5%BC%80%2C%E4%B9%9F%E5%B0%B1%E4%B8%8D%E6%98%AF%E9%A9%AC)
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