泰勒级数的问题求括号内所示结束的麦克劳林公式一、Fx=tanx(3阶)答案是令tanx=ax+bx^3+o(x^4),tanx=sinx/cosx,sinx=x-x^3/6+o(x^4),cosx=1-x^2/2+o(x^3),接着代入求出系数,我想问为什么tanx,sinx的余项不是o(x^3)而
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/30 23:17:27
![泰勒级数的问题求括号内所示结束的麦克劳林公式一、Fx=tanx(3阶)答案是令tanx=ax+bx^3+o(x^4),tanx=sinx/cosx,sinx=x-x^3/6+o(x^4),cosx=1-x^2/2+o(x^3),接着代入求出系数,我想问为什么tanx,sinx的余项不是o(x^3)而](/uploads/image/z/8798361-33-1.jpg?t=%E6%B3%B0%E5%8B%92%E7%BA%A7%E6%95%B0%E7%9A%84%E9%97%AE%E9%A2%98%E6%B1%82%E6%8B%AC%E5%8F%B7%E5%86%85%E6%89%80%E7%A4%BA%E7%BB%93%E6%9D%9F%E7%9A%84%E9%BA%A6%E5%85%8B%E5%8A%B3%E6%9E%97%E5%85%AC%E5%BC%8F%E4%B8%80%E3%80%81Fx%3Dtanx%283%E9%98%B6%29%E7%AD%94%E6%A1%88%E6%98%AF%E4%BB%A4tanx%3Dax%2Bbx%5E3%2Bo%28x%5E4%29%2Ctanx%3Dsinx%2Fcosx%2Csinx%3Dx-x%5E3%2F6%2Bo%28x%5E4%29%2Ccosx%3D1-x%5E2%2F2%2Bo%28x%5E3%29%2C%E6%8E%A5%E7%9D%80%E4%BB%A3%E5%85%A5%E6%B1%82%E5%87%BA%E7%B3%BB%E6%95%B0%2C%E6%88%91%E6%83%B3%E9%97%AE%E4%B8%BA%E4%BB%80%E4%B9%88tanx%2Csinx%E7%9A%84%E4%BD%99%E9%A1%B9%E4%B8%8D%E6%98%AFo%28x%5E3%29%E8%80%8C)
xTMSA+)O6k~%US.hE{\bC#QєA>$h/)!of*rT.[=^,k7)α^9x6y4J>Gl.08G2-?Hړ|H 4}!|bTp(n1dU؇.edqJpQcZdn