计算1/X(X+1)+1/(X+1)(X+2)+.+1/(X+8)(X+9)①1/(1-X)+1/(1+X)+2/(1+X^2)+4/(1+X^4)②1/(1+X)+2/(1+X^2)+4/(1+X^4)+8/(1+X^8)
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计算1/X(X+1)+1/(X+1)(X+2)+.+1/(X+8)(X+9)①1/(1-X)+1/(1+X)+2/(1+X^2)+4/(1+X^4)②1/(1+X)+2/(1+X^2)+4/(1+X^4)+8/(1+X^8)
计算1/X(X+1)+1/(X+1)(X+2)+.+1/(X+8)(X+9)
①1/(1-X)+1/(1+X)+2/(1+X^2)+4/(1+X^4)
②1/(1+X)+2/(1+X^2)+4/(1+X^4)+8/(1+X^8)
计算1/X(X+1)+1/(X+1)(X+2)+.+1/(X+8)(X+9)①1/(1-X)+1/(1+X)+2/(1+X^2)+4/(1+X^4)②1/(1+X)+2/(1+X^2)+4/(1+X^4)+8/(1+X^8)
1/X(X+1)+1/(X+1)(X+2)+.+1/(X+8)(X+9)
=1/x-1/(x+1)+1/(x+1)-1/(x+1)+...+1/(x+8)-1/(x+9)
=1/x-1(x+9)
=9/x(x+9)
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