淺析-函數(shù)極限求法的-論文

1、...淺析函數(shù)極限的求法摘要極限是數(shù)學分析的一個重要組成部分，它以各種形式出現(xiàn)且貫穿在全部內(nèi)容之中因此，掌握好極限的求解方法是學習數(shù)學分析的關鍵，而函數(shù)極限的求法可謂是多種多樣.首先本文先給出了函數(shù)極限的定義及其性質(zhì)；其次歸納和總結(jié)了函數(shù)極限的若干求法，并舉例分析；最后給出了求函數(shù)極限的流程圖，也就是求函數(shù)極限的思路、步驟，使初學者能較快地掌握求函數(shù)極限方法.關鍵詞：極限；導數(shù)；洛必達法則；泰勒公式2第2頁共20頁目錄1前言......

2、.....................................................................................................................................32函數(shù)極限的概念及性質(zhì)...........................................................................

3、.................................42.1函數(shù)極限的概念.............................................................................................................42.2函數(shù)極限的性質(zhì)........................................................

4、.....................................................53函數(shù)極限的求解方法................................................................................................................63.1利用兩個準則求極限...............................

5、.....................................................................63.2利用極限的四則運算求極限........................................................................................73.3利用兩個重要極限公式求極限..............................

6、......................................................83.4利用洛必達法則求極限................................................................................................93.5利用函數(shù)連續(xù)性求極限..........................................

7、....................................................103.6通過等式變形化為已知極限......................................................................................103.7利用換元法求極限....................................................

8、..................................................113.23利用自然對數(shù)法求極限.....................................................................................113.8利用因式分解法求極限......................................................

9、........................................123.14利用壓縮定理...........................................................................................................164求極限的一般流程..................................................

10、...............................................................18結(jié)論.............................................................................................................................................21參考文獻......

11、...............................................................................................................................22致謝.........................................................................................