Use the definition of convergence to prove the sequence is convergent.

{(5n+17)/(2n)}

We have to prove the sequence converges to 5/2.

e>0, the n>= N

|[(5n+17)/(2n)] - [5/2]| = |17/(2(2n))|

There is where I am get stuck. I know we have to choose a postive integer N it is <e. Where do I go from here?