Question

求未知数x的数学趣味题.（1X2）分之x +（2X3）分之x +（3*4）分之x +....+（2007X2008）分之

Answer 1

变相的分式计算题首先,1/(n-1)*n = 1/(n-1) - 1/n原式 = X * (1/1*2 + 1/2*3 + 1/3*4 + ... + 1/2007*2008) = X * (1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 ... + 1/2007 - 1/2008) = X * (1-1/2008) = X * 2007...