(b) Let x = 0.9999.... Do you think that x <1 or x = 1? (c) Sum a geometric series to find the value of x. (d) How many decimal representations does the number 1 have? Write them all down. (e) Which numbers have more than one decimal representation?
(b) Let x = 0.9999.... Do you think that x <1 or x = 1? (c) Sum a geometric series to find the value of x. (d) How many decimal representations does the number 1 have? Write them all down. (e) Which numbers have more than one decimal representation?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 30E
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Recall that the decimal representation of a number is a sequence of digits with one separator (decimal point), which separates the integer part of a number from its fractional part.
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