Any real number in the interval [0, 1] can be represented by a decimal (not necessarily unique)

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Any real number in the interval [0, 1] can be represented by a decimal (not necessarily unique) asimage


where di is one of the integers 0, 1, 2, 3, . . . , 9. Prove that the series on the right-hand side always converges.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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