Statement of the problem:

For the sequence $\{\frac{n}{n^2+144}{\}}_n=1^{}$

$($a$)$ determine if the sequence converges,

$($b$)$ the limiting value of the sequence if it converges, and

$($c$)$ determine if the sequence is monotonic.

Questions you are to answer and$/$or complete:

Using complete sentence and terms that a person with limited understanding of Calculus could understand explain the methods you will use to arrive at the answers to the problem.

Using Calculus techniques $($including mathematically correct notation$)$ get an answer to each of the part of the problem.

Using complete sentences and terms that a person with limited understanding of Calculus could understand explain how you know that your answer of monotonic or not monotonic is correct.