题目内容
已知![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101224600311826503/SYS201311012246003118265004_ST/0.png)
A.-6
B.-2
C.2
D.6
【答案】分析:先通分得
,然后由极限的性质知
,由此可以求出a-b的值.
解答:解:∵已知![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101224600311826503/SYS201311012246003118265004_DA/2.png)
=![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101224600311826503/SYS201311012246003118265004_DA/4.png)
=2,
∴
,
∴a=2,b=-4;
∴a-b=6.
故选D.
点评:本题考查数列的极限,解题时注意数列极限的逆运算.
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101224600311826503/SYS201311012246003118265004_DA/0.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101224600311826503/SYS201311012246003118265004_DA/1.png)
解答:解:∵已知
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101224600311826503/SYS201311012246003118265004_DA/2.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101224600311826503/SYS201311012246003118265004_DA/3.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101224600311826503/SYS201311012246003118265004_DA/4.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101224600311826503/SYS201311012246003118265004_DA/5.png)
∴
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131101224600311826503/SYS201311012246003118265004_DA/6.png)
∴a=2,b=-4;
∴a-b=6.
故选D.
点评:本题考查数列的极限,解题时注意数列极限的逆运算.
![](http://thumb.zyjl.cn/images/loading.gif)
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