For each of these functions from R+ → R, find the least integer n such that f(x) is O(xn) if possible. If not, explain why the function cannot be O(xn).
a) f (x) = x2√x
b) f (x) = 2x3 + x2 log(3x)
c) f (x) = (x5+x4)/x4+5 log5(5x)
d) f (x) = log(1000)
e) f (x) = 3x/x3+ x3/log(x)

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