2-8-4 replaced by even more powerful 2-10-4 Texas type locomotives. Six years after the Atchison, Topeka and Santa Fe Railway experimented with the first 2-10-4, the first 2-8-4s were built for the Boston & Albany (B&A) by Lima Locomotive Works in 1925. The railroad's route over the Berkshires was a substantial test for the new locomotives, but the type proved its worth, outpacing the 2-8-2 Mikados already in use there. This mountain range lent its name to the locomotive type, though the Chesapeake and Ohio Railway preferred the name "Kanawha" for their 2-8-4s. Buoyed by the success of the demonstrations on
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