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Using Decimal to Prove e is Irrational

Timothy W. Jones

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Abstract

Using for decimal bases the terms of e-2, we calculate partial sums and form open intervals for tails of partials. These intervals exclude all possible rational convergence points and thus show e-2 and hence e is irrational.

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What this paper is about

Using for decimal bases the terms of e-2, we calculate partial sums and form open intervals for tails of partials. These intervals exclude all possible rational convergence points and thus show e-2 and hence e is irrational.

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Available abstract

Using for decimal bases the terms of e-2, we calculate partial sums and form open intervals for tails of partials. These intervals exclude all possible rational convergence points and thus show e-2 and hence e is irrational.

Key concepts: Decimal, Irrational number, Mathematics, Convergence (economics), Arithmetic, Geometry, Economics, Economic growth

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