\(\dfrac{1}{1.2}+\dfrac{1}{2.3}+...+\dfrac{1}{49.50}\)
\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{49}-\dfrac{1}{50}\)
\(=1-\dfrac{1}{50}< 1\)
11.2+12.3+...+149.5011.2+12.3+...+149.50
=1−12+12−13+...+149−150=1−12+12−13+...+149−150
=1−150<1