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Basic calculation problem

Algebra Level 3

Evaluate:

\[ \frac{1}{x(x+1)} + \frac{1}{(x+1)(x+2)} + \frac{1}{(x+2)(x+3)}+\ldots+\frac{1}{(x+99)(x+100)} +\frac{1}{x+100} \]

None of these choices \[ \frac{1}{x} \] \[ \frac{1}{x}-\frac{1}{100} \] 1

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Excel in math and science

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by Adam Phúc Nguyễn

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