函數冪級數畢業(yè)論文中英文資料外文翻譯文獻(編輯修改稿)
2025-07-19 04:17 本頁面
【文章內容簡介】 can start forming as (954) type of power series.Power Series,Known as the Taylor series.Second, primary function of power series expansionMaclaurin formula using the function expanded in power series method, called the direct expansion method.Example 1 Test the functionexpanded in power series of .Solution because,Therefore,So we get the power series, (956)Obviously, (956)type convergence interval , As (956)whether type is Sum function, that is, whether it converges to , but also examine remainder . Because ()，且,Therefore,Noting the value of any set ,is a fixed constant, while the series (956) is absolutely convergent, so the general when the item when , , so when n → ∞, there,From thisThis indicates that the series (956) does converge to, therefore ().Such use of Maclaurin formula are expanded in power series method, although the procedure is clear, but operators are often too Cumbersome, so it is generally more convenient to use the following power series expansion method.Prior to this, we have been a function, and power series expansion, the use of these known expansion by power series of operations, we can achieve many functions of power series expansion. This demand function of power series expansion method is called indir
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