设数列{a
n}满足a
1=a,a
n+1=a
n2+a
1,M={a∈R|n∈N*,|a
n|≤2}.
(1)当a∈(-∞,-2)时,求证:a∉M;
(2)当a∈(0,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024190912482525569/SYS201310241909124825255025_ST/0.png)
]时,求证:a∈M;
(3)当a∈(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024190912482525569/SYS201310241909124825255025_ST/1.png)
,+∞)时,判断元素a与集合M的关系,并证明你的结论.
考点分析:
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024190912482525569/SYS201310241909124825255021_ST/0.png)
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