f(n) = 2^(2n)Which of the following correctly represents the above function?Select one:O(2^n)Ω(2^n)Θ(2^n)None of these
Question
f(n) = 2^(2n)Which of the following correctly represents the above function?Select one:O(2^n)Ω(2^n)Θ(2^n)None of these
Solution
None of these
The function f(n) = 2^(2n) grows exponentially faster than 2^n, so it cannot be represented by O(2^n), Ω(2^n), or Θ(2^n). Therefore, the correct answer is "None of these".
Similar Questions
Which of the following functions is Θ(n2)?
A) Big-O notation and loop invariants1. Let g(n) be a function. For each of the following statements, mark in the answer sheetswhether it is correct (true = correct, false = incorrect).(a) Θ(g) = {f (n) : There exist positive constants c1, c2 and n0 such that0 ≤ c1 · g(n) ≤ f (n) ≤ c2 · g(n), for all n ≥ n0}(b) Θ(g) = {f (n) : There exist positive constants c1, c2 and n0 such that0 ≤ c1 · f (n) ≤ g(n) ≤ c2 · f (n), for all n ≥ n0}(c) Θ(g) = O(g) ∩ Ω(g)
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