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Alternative derivation of some regular continued fractions
Published online by Cambridge University Press: 09 April 2009
Extract
In this paper we find an expression for ex as the limit of quotients associated with a sequence of matrices, and thence, by using the matrix approach to continued fractions ([5] 12–13, [2] and [4]), we derive the regular continued fraction expansions of e2/k and tan 1/k (where k is a positive integer).
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- Copyright © Australian Mathematical Society 1968
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