计算1/2*3+1/3*4+1/4*5+……+1/(x-1)x(X为正整数)

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计算1/2*3+1/3*4+1/4*5+……+1/(x-1)x(X为正整数)计算1/2*3+1/3*4+1/4*5+……+1/(x-1)x(X为正整数)计算1/2*3+1/3*4+1/4*5+……+1

计算1/2*3+1/3*4+1/4*5+……+1/(x-1)x(X为正整数)
计算1/2*3+1/3*4+1/4*5+……+1/(x-1)x(X为正整数)

计算1/2*3+1/3*4+1/4*5+……+1/(x-1)x(X为正整数)
1/2*3+1/3*4+1/4*5+……+1/(x-1)x
=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+...+[1/(1-x)-1/x]
=1/2-1/2+1/3-1/4+1/4-1/5+...+1/(1-x)-1/x
=1/2-1/x
=(x-2)/(2x)