试比较nn+1与(n+1)n(n∈N*)的大小. 当n=1时,有nn+1____
问题:
试比较nn+1与(n+1)n(n∈N*)的大小.
当n=1时,有nn+1______(n+1)n(填>、=或<);
当n=2时,有nn+1______(n+1)n(填>、=或<);
当n=3时,有nn+1______(n+1)n(填>、=或<);
当n=4时,有nn+1______(n+1)n(填>、=或<);
猜想一个一般性的结论,并加以证明.
试比较nn+1与(n+1)n(n∈N*)的大小.
当n=1时,有nn+1______(n+1)n(填>、=或<);
当n=2时,有nn+1______(n+1)n(填>、=或<);
当n=3时,有nn+1______(n+1)n(填>、=或<);
当n=4时,有nn+1______(n+1)n(填>、=或<);
猜想一个一般性的结论,并加以证明.