Tính tích \(P = \left( {1 - \frac{1}{2}} \right)\left( {1 - \frac{1}{3}} \right)\left( {1 - \frac{1}{4}} \right)...\left( {1 - \frac{1}{{99}}} \right)\)
\(\begin{array}{l}
P = \left( {1 - \frac{1}{2}} \right)\left( {1 - \frac{1}{3}} \right)\left( {1 - \frac{1}{4}} \right)...\left( {1 - \frac{1}{{99}}} \right)\\
= \frac{1}{2}.\frac{2}{3}.\frac{3}{4}...\frac{{98}}{{99}}\\
= \frac{{1.2.3...97.98}}{{2.3.4...98.99}}\\
= \frac{1}{{99}}
\end{array}\)
-- Mod Toán 6
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