Let x = 6.99999.... (a) Is x < 7 or is x = 7? Ox<7 It is neither; x > 7 X = 7 Ox<7 and x = 7 O It cannot be determined. (b) Sum a geometric series to find the value of x. X = (d) How many decimal representations does the number 7 have? decimal representations (d) Which numbers have more than one decimal representation? O all integers except for 0 the integers all real numbers O all rational numbers that have a terminating decimal representation except for 0 O the rational numbers except for 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Let x = 6.99999....
%3D
(a) Is x < 7 or is x = 7?
Ox<7
O It is neither; x > 7
X = 7
Ox<7 and x = 7
%3D
O It cannot be
determined.
(b) Sum a geometric series to find the value of x.
X =
(d) How many decimal representations does the number 7 have?
decimal representations
(d) Which numbers have more than one decimal representation?
all integers except for 0
O the integers
O all real numbers
all rational numbers that have a terminating decimal representation except
for 0
O the rational numbers except for 0
Transcribed Image Text:Let x = 6.99999.... %3D (a) Is x < 7 or is x = 7? Ox<7 O It is neither; x > 7 X = 7 Ox<7 and x = 7 %3D O It cannot be determined. (b) Sum a geometric series to find the value of x. X = (d) How many decimal representations does the number 7 have? decimal representations (d) Which numbers have more than one decimal representation? all integers except for 0 O the integers O all real numbers all rational numbers that have a terminating decimal representation except for 0 O the rational numbers except for 0
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