title: If f(n) ∈ ω(g(n)), then 2 ^ f(n) ∈ ω(2 ^ g(n) )
body: <p>I have to find whether the following is true or false:</p>
  
  <p>If f(n) ∈ ω(g(n)), then 2 ^ f(n) ∈ ω(2 ^ g(n) )</p>
  
  <p>I did the calculations f(n) = 1/n and g(n) = 1/n^2 and got the ans as false.</p>
  
  <p>It should be :</p>
  
  <p>If f(n) ∈ ω(g(n)), then 2 ^ f(n) ∈ Θ(2 ^ g(n) )</p>
  
  <p>Could some one please verify this?</p>