1/1x2+1/2X3+1/3X4+~+1/2005X2006
问题描述:
1/1x2+1/2X3+1/3X4+~+1/2005X2006
答
2005/2006
答
1/1x2+1/2X3+1/3X4+~+1/2005X2006
=1-1/2+1/2-1/3+1/3-1/4++~+1/2005-1/2006
=1-1/2006
=2005/2006