3/2+7/6+13/12.2008x2009+1/2008x2009的值在哪两个数之间,

3/2+7/6+13/12.2008x2009+1/2008x2009的值在哪两个数之间,
3/2+7/6+13/12.2008x2009+1/2008x2009的值在哪两个数之间,

3/2+7/6+13/12.2008x2009+1/2008x2009的值在哪两个数之间,
3/2+7/6+13/12...+(2008x2009+1)/2008x2009
=1+1/6+1+1/12+.+1+1/2008*2009
=1/2+1/6+1/12+.+1/2008*2009+1+1+1.+1
=1/1*2+1/2*3+1/3*4+.+1/2008*2009+2008*1
=1-1/2+1/2-1/3+1/3-1/4+.+1/2008-1/2009+2008
=1-1/2009+2008
=2008/2009+2008
3/2+7/6+13/12...+(2008x2009+1)/2008x2009的值在2008和2009之间

3/2+7/6+13/12....2008x2009+1/2008x2009的值在哪两个数之间，要过程。
=1+1/1*2 +1+1/2*3+ 1+1/3*4 + ... + 1+ 1/2008*2009
= 2008 + 1/1 - 1/2 + 1/2 - 1/3 + 1/3 -1 /4 + ... + 1/2008 - 1/2009
= 2008 + 1 - 1/2009
= 2009 - 1/2009
因此，值在2008到2009之间