5. Show that the set {e" : n e Z} is countable. (Hint: Use the function f(n) = en and show it is 1-1 and onto).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.1: The Field Of Real Numbers
Problem 2TFE: Label each of the following statements as either true or false. Every upper bound of a nonempty set ...
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5. Show that the set {e" : n e Z} is countable. (Hint: Use the function f(n) = en and show it
is 1-1 and onto).
Transcribed Image Text:5. Show that the set {e" : n e Z} is countable. (Hint: Use the function f(n) = en and show it is 1-1 and onto).
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