title: Prove Big-Omega
body: <p>Question:</p>
  
  <p>(5n^2)(ln(n)) is big-omega of n(ln(n)^2)</p>
  
  <p>What I have tried:</p>
  
  <p>Exist c > 0, n0 > 0</p>
  
  <p>(5n^2)(ln(n)) >= cn(ln(n)^2) for all n >= n0</p>
  
  <p>(5n^2)(ln(n)) >= n(ln(n)) (for n >= 1) >= n(ln(n)^2) (for n &lt;= 1)</p>
  
  <p>so this concludes that when n = 1 = n0, (5n^2)(ln(n)) is big-omega of n(ln(n)^2);
  but this does not meet the requirement of (for all n >= n0).</p>
  
  <p>I stuck here and can anyone help?</p>