泰勒公式 证明泰勒中值定理是说函数f(x)等于n次多项式Pn(x)(就是f(x)的n阶泰勒公式)与Rn(x)(f(x)的n阶泰勒公式的余项)的和,余项具有形式[f(ξ)*(x-x0)^(n+1)]/[(n+1)!],所以需要证明的就是Rn(x)=[f(
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![泰勒公式 证明泰勒中值定理是说函数f(x)等于n次多项式Pn(x)(就是f(x)的n阶泰勒公式)与Rn(x)(f(x)的n阶泰勒公式的余项)的和,余项具有形式[f(ξ)*(x-x0)^(n+1)]/[(n+1)!],所以需要证明的就是Rn(x)=[f(](/uploads/image/z/3712027-67-7.jpg?t=%E6%B3%B0%E5%8B%92%E5%85%AC%E5%BC%8F+%E8%AF%81%E6%98%8E%E6%B3%B0%E5%8B%92%E4%B8%AD%E5%80%BC%E5%AE%9A%E7%90%86%E6%98%AF%E8%AF%B4%E5%87%BD%E6%95%B0f%28x%29%E7%AD%89%E4%BA%8En%E6%AC%A1%E5%A4%9A%E9%A1%B9%E5%BC%8FPn%28x%29%EF%BC%88%E5%B0%B1%E6%98%AFf%28x%29%E7%9A%84n%E9%98%B6%E6%B3%B0%E5%8B%92%E5%85%AC%E5%BC%8F%EF%BC%89%E4%B8%8ERn%28x%29%EF%BC%88f%28x%29%E7%9A%84n%E9%98%B6%E6%B3%B0%E5%8B%92%E5%85%AC%E5%BC%8F%E7%9A%84%E4%BD%99%E9%A1%B9%EF%BC%89%E7%9A%84%E5%92%8C%2C%E4%BD%99%E9%A1%B9%E5%85%B7%E6%9C%89%E5%BD%A2%E5%BC%8F%5Bf%28%CE%BE%29%2A%28x-x0%29%5E%28n%2B1%29%5D%2F%5B%28n%2B1%29%21%5D%2C%E6%89%80%E4%BB%A5%E9%9C%80%E8%A6%81%E8%AF%81%E6%98%8E%E7%9A%84%E5%B0%B1%E6%98%AFRn%28x%29%3D%5Bf%28)
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