South African Class 19B 4-8-2 initially plinthed at Middelburg in the Cape Province and later restored. During 2016 it re-entered service as "Bailey", restored at Voorbaai for the Ceres Rail Company. South African Class 19B 4-8-2 The South African Railways Class 19B 4-8-2 of 1930 was a steam locomotive. In 1930, the South African Railways placed fourteen Class 19B steam locomotives with a 4-8-2 Mountain type wheel arrangement in service. One of them was later reboilered and reclassified to Class 19BR. Fourteen Class 19B 4-8-2 Mountain type steam locomotives were built in Germany by Berliner Maschinenbau AG and were delivered in 1930. All but one
1/2 + 1/4 + 1/8 + 1/16 + ⋯ 1/2 + 1/4 + 1/8 + 1/16 + ⋯ In mathematics, the infinite series is an elementary example of a geometric series that converges absolutely. There are many different expressions that can be shown to be equivalent to the problem, such as the form: 2 + 2 + 2 + ... The sum of this series can be denoted in summation notation as: As with any infinite series, the infinite sum is defined to mean the limit of the sum of the first terms as approaches infinity. Multiplying by 2 reveals a useful relationship: Subtracting from both sides, As approaches