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  3. determine whether each of these proposed definitio

Determine whether each of these proposed definitions is a valid recursive definition of a function f...

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Question

Advance Math

Determine whether each of these proposed definitions is
a valid recursive definition of a function f from the set
of nonnegative integers to the set of integers. If f is well
defined, find a formula for f (n) when n is a nonnegative
integer and prove that your formula is valid.

e) f (0) = 2, f (n) = f (n ? 1) if n is odd and n ? 1 and
f (n) = 2f (n ? 2) if n ? 2

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