2-8-4 five locomotives were relocated to Plovdiv depot to serve the Plovdiv-Svilengrad line. In addition to the local passenger train service, duties there also included international express trains to and from Turkey. In 1961, the remaining five locomotives were relocated from Sofia to Varna depot. They remained on these local passenger train duties well into the 1970s, when they were ousted by diesel locomotives and diesel trainsets. Some were preserved. The Toronto, Hamilton and Buffalo Railway (TH&B) was the only Canadian Railway to operate 2-8-4 Berkshires. Only two locomotives were ordered from the Montreal Locomotive Works (MLW) in 1927, works numbers
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