title: A homework about growth rate of function
body: <p>Please order the function belows by growth rate</p>
  
  <pre><code>n ^ 1.5
  n ^ 0.5 + log n
  n log ^ 2 n
  n log ( n ^ 2 )
  n log log n
  n ^ 2 + log n
  n log n
  n
  </code></pre>
  
  <p>ps:
  Ordering by growth rate means, as n gets larger and larger, which function will eventually be higher in value than the others.</p>
  
  <p>ps2. I have ordered most of the functions:
  n , n log log n, n log n, n log^2 n, n log ( n ^ 2 ), n ^ 1.5</p>
  
  <p>I just do not know how to order:
  n ^ 2 + log n,
  n ^ 0.5 + log n,
  these 2 values</p>
  
  <p>Can anyone help me?
  Thank you</p>