\(\left(\frac{1}{2}+1\right)\cdot\left(\frac{1}{3}+1\right)\cdot...\cdot\left(\frac{1}{999+1}\right)\)
\(=>\frac{3}{2}\cdot\frac{4}{3}\cdot\frac{5}{4}\cdot...\cdot\frac{999}{998}\cdot\frac{1000}{999}\)
\(=>\frac{3\cdot4\cdot5\cdot...\cdot999\cdot1000}{2\cdot3\cdot4\cdot...\cdot997\cdot998}\)
\(=>\frac{1000}{2}=500\)
mik nghĩ là đúng