No5

fined recur- 5. 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 J(n) when n is a nonnegative integer and prove that your formula is valid. is defined n 2 e) f(0) 1, f(n) 3f (n -D if n is odd and nI and J. (n) {)f(n-, 2) if n is even and n 2 6. Determine whether each of these proposed definitions is a valid recursive definition of a function / from the set ned recur