Basic calculation problem
Algebra
Level
3
Evaluate:
\[ \frac{1}{x(x+1)} + \frac{1}{(x+1)(x+2)} + \frac{1}{(x+2)(x+3)}+\ldots+\frac{1}{(x+99)(x+100)} +\frac{1}{x+100} \]
by
Adam Phúc Nguyễn