(1+1/2)(1+1/3)(1+1/4)(1+1/5)……(1+1/2005)(1+1/2006)=?

问题描述:

(1+1/2)(1+1/3)(1+1/4)(1+1/5)……(1+1/2005)(1+1/2006)=?

(1+1/2)*(1+1/3)*(1+1/4)*……*(1+1/2005)(1+1/2006)
=3/2*4/3*5/4*……*2006/2005*2007/2006
=2007/2
=1003.5