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Evaluate:
1x(x+1)+1(x+1)(x+2)+1(x+2)(x+3)+…+1(x+99)(x+100)+1x+100 \frac{1}{x(x+1)} + \frac{1}{(x+1)(x+2)} + \frac{1}{(x+2)(x+3)}+\ldots+\frac{1}{(x+99)(x+100)} +\frac{1}{x+100} x(x+1)1+(x+1)(x+2)1+(x+2)(x+3)1+…+(x+99)(x+100)1+x+1001
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