In India, transferring to other banks is available mostly on Internet banking. Some banks are offering Transferring option within the bank in ATMs. You need to visit the bank branch to register and activate this Transfer option for intra-bank accounts. 

Can i transfer money via Indian bank atm to citibank account?
I have to prove the following theorem:



I am not asking for the whole problem, but am stuck on the first part (Proving that output of c implies g(n) is in the order of f(n)).

I know the following:


  The order of f(n) is the set of complexity functions g(n) for which there exists some positive real constants c and d and some nonnegative integer N such that, for all n >= N:
  $c * f(n) &lt;= g(n) &lt;= d * f(n)$


At this point, I feel that I may be able to use induction with the formula above to show that the limit of g(n)/f(n) is nonnegative, but I can't quite wrap my head around that. Or perhaps there is another way to show that the limit converges?
