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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter87: An Introduction To G- And M-codes For Cnc Programming
Section: Chapter Questions
Problem 14A
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Show that the set {e^n: n ∈Z} is countable. (Hint: Use the function f (n) = e^n and show it
is 1-1 and onto).

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