Using Decimal to Prove e is Irrational
Timothy W. Jones
Abstract
Timothy W. Jones
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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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