Let x = 2.99999.... (a) Is x < 3 or is x = 3? Ox<3 O It is neither; x > 3 x = 3 O x < 3 and x = 3 O It cannot be determined. (b) Sum a geometric series to find the value of x. X = (c) How many decimal representations does the number 3 have? decimal representations (d) Which numbers have more than one decimal representation? O all rational numbers that have a terminating decimal representation except for 0 all real numbers O all integers except for 0 O the integers O the rational numbers except for 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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Let x = 2.99999....
(a) Is x < 3 or is x = 3?
Ox<3
O It is neither; x > 3
x = 3
O x < 3 and x = 3
O It cannot be determined.
(b) Sum a geometric series to find the value of x.
X =
(c) How many decimal representations does the number 3 have?
decimal representations
(d) Which numbers have more than one decimal representation?
O all rational numbers that have a terminating decimal representation except for 0
all real numbers
O all integers except for 0
O the integers
O the rational numbers except for 0
Transcribed Image Text:Let x = 2.99999.... (a) Is x < 3 or is x = 3? Ox<3 O It is neither; x > 3 x = 3 O x < 3 and x = 3 O It cannot be determined. (b) Sum a geometric series to find the value of x. X = (c) How many decimal representations does the number 3 have? decimal representations (d) Which numbers have more than one decimal representation? O all rational numbers that have a terminating decimal representation except for 0 all real numbers O all integers except for 0 O the integers O the rational numbers except for 0
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