Let x = 4.99999... (a) Is x < 5 or is x= 5? Ox<5 O t is neither; x > 5 x = 5 x< 5 and x = 5 It cannot be determined. (b) Sum a geometric series to find the value of x. (C) How many decimal representations does the number 5 have? decimal representations (d) Which numbers have more than one decimal representation? all real numbers the integers the rational numbers except for 0 all integers except for 0 all rational numbers that have a terminating decimal representation except for 0

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.3: Geometric Sequences
Problem 98E
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Let x = 4.99999...
(a) Is x < 5 or is x= 5?
Ox<5
O t is neither; x > 5
x = 5
x< 5 and x = 5
It cannot be determined.
(b) Sum a geometric series to find the value of x.
(C) How many decimal representations does the number 5 have?
decimal representations
(d) Which numbers have more than one decimal representation?
all real numbers
the integers
the rational numbers except for 0
all integers except for 0
all rational numbers that have a terminating decimal representation except for 0
Transcribed Image Text:Let x = 4.99999... (a) Is x < 5 or is x= 5? Ox<5 O t is neither; x > 5 x = 5 x< 5 and x = 5 It cannot be determined. (b) Sum a geometric series to find the value of x. (C) How many decimal representations does the number 5 have? decimal representations (d) Which numbers have more than one decimal representation? all real numbers the integers the rational numbers except for 0 all integers except for 0 all rational numbers that have a terminating decimal representation except for 0
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