Question: 4. Suppose f(n) is a positive-valued function defined for integers n > 0. Obviously, f(n) must be O(f(n)). Define g(n) = f(n + 1). Is

4. Suppose f(n) is a positive-valued function defined for integers n

4. Suppose f(n) is a positive-valued function defined for integers n > 0. Obviously, f(n) must be O(f(n)). Define g(n) = f(n + 1). Is it true that g(n) must be O(f(n))? If so, prove it. If not, give an example of f(n) where this does not hold

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