Question

x(x+1)分之1+（x+1)(x+2)分之1+(x+2)(x+3)分之1+....+（x+2010)(x+2011)分之1 x=1 答案是多少？

x=1 答案是多少

Answer 1

原式=1/x-1/(x+1)+1/(x+1)-1/(x+2)+……+1/(x+2010)-1/(x+2011)=1/x - 1/(x+2011)=1-1/2012=0.999503

Answer 2

原式=1/x-1/(x+1)+1/(x+1)-1/(x+2)+……+1/(x+2010)-1/(x+2011)
=1/x-1/(x+2011)
=2011/x(x+2011)
=2011/2002

Answer 3

1/x-1/(x+1)+1/(x+1)-1/(x+2)+...+1/(x+2010)-1/(x+2011)
=1-1/2012
=2011/2012