Ta có: \(M=\frac12:\left(-\frac32\right):\frac43:\left(-\frac54\right):\frac65:\left(-\frac76\right):\ldots:\left(-\frac{101}{100}\right)\)
\(=\frac12\cdot\frac{-2}{3}\cdot\frac34\cdot\frac{-4}{5}\cdot\ldots\cdot\frac{-100}{101}=\frac12\cdot\frac23\cdot\ldots\cdot\frac{100}{101}\)
\(=\frac{1}{101}\)
