数 求下列极限

2010-09-16 5:38 am
1. lim x-> 兀 cos(兀/2) /x-兀


2. 第5步那個6 和(-sinx) 怎弄來的????
http://hiphotos.baidu.com/zhidao/pic/item/a686c917acdc954cc83d6d4c.jpg
更新1:

(x-兀)是怎樣導的???? (-sinX/2)(1/2) 的1/2是怎出來???

回答 (1)

2010-09-16 6:16 am
✔ 最佳答案
As follows:


圖片參考:http://i707.photobucket.com/albums/ww74/stevieg90/12-23.jpg


2010-09-15 22:16:40 補充:
兩題均需用"洛必達法則(L'Hospital Rule)"

2010-09-16 00:12:12 補充:
d(x-兀)/dx=1
(1/2)是由鏈法則得來的:
d/dx(cos(x/2))=d/d(x/2) (cos(x/2))* d(x/2)/dx=-sin(x/2)*(1/2)


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