Question

Prove that Z (integers) is countable by proving f : N(natural #s) → Z (integers) defined by f(n)=(see photo) is a bijection.

n even,
2'
f(n)%3D
(n-1)
n odd,
2.
Expand
Transcribed Image Text

n even, 2' f(n)%3D (n-1) n odd, 2.

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