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【简答题】
阅读下列材料并填空： 你能比较两个数2006 2007 和2007 2006 的大小吗？为了解决这个问题，先把问题一般化，即比较n n+1 和（n+1） n 的大小（n≥1且n为整数），然后，从分析n=1，n=2，n=3，…，这些简单情形人手，从中发现规律，经过归纳，猜想出结论。 （1）通过计算，比较下列各组两个数的大小；（填“>”、“＜”或“=”） ①1 2 （ ）2 1 ；②2 3 （ ）3 2 ；③3 4 （ ）4 3 。 （2）根据（1）的结果归纳，可以猜想n n+1 与（n+1） n 的大小关系是_______； （3）利用（2）的结论，可以得到2006 2007 _______2007 2006 （填“>”、“＜”或“=”）。
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