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A6

Part of 1957 Putnam

Problems(1)

Putnam 1957 A6

Source: Putnam 1957

7/1/2022
Let a>0a>0, S1=ln⁡aS_1 =\ln a and Sn=∑i=1n−1ln⁡(a−Si)S_n = \sum_{i=1 }^{n-1} \ln( a- S_i ) for n>1.n >1. Show that lim⁡n→∞Sn=a−1. \lim_{n \to \infty} S_n = a-1.
Putnamlimitlogarithms