\(=\dfrac{4}{3}.\dfrac{9}{8}.\dfrac{16}{15}...\dfrac{2500}{2499}\)
\(=\dfrac{2.2}{1.3}.\dfrac{3.3}{2.4}.\dfrac{4.4}{3.5}...\dfrac{50.50}{49.51}\)
\(=\dfrac{2.3.4...50}{1.2.3...49}.\dfrac{2.3.4...50}{3.4.5...51}=\dfrac{50}{1}.\dfrac{2}{51}=\dfrac{100}{51}\)