化简:(n+1)!/n!-n!/(n-1)!

问题描述:

化简:(n+1)!/n!-n!/(n-1)!

=[(n+1)/n-1][n!/(n-1)!]
=[(n+1-n)/n][n!/(n-1)!]
=(1/n)[n!/(n-1)!]
=1