Calculate 1 / X (x + 1) + 1 / (x + 2) (x + 1). + 1 / (x + 2008) (x + 2009) and find the value of the algebraic expression when x = 1

1/x(x+1)=1/x-1/(1+x)1/（x+2)(x+1)=1/(x+1)-1/(x+2).1/(x+2008)(x+2009)=1/(x+2008)-1/(1+2009)1/x(x+1)+1/（x+2）（x+1）.+1/(x+2008)(x+2009)=1/x-1/(1+x)+1/(x+1)-1/(x+2)+.+1/(x+2008)-1/(x+2009)=1-1/(x+2009)...

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