Here is the sequence:
$$a_n = \frac{n^2}{cn^2 + 1} \mbox{ where } c < 0.$$
If I prove this function has a limit using the limit definition, as $n$ goes to infinity, does that prove the sequence converges?
Here is the sequence:
$$a_n = \frac{n^2}{cn^2 + 1} \mbox{ where } c < 0.$$
If I prove this function has a limit using the limit definition, as $n$ goes to infinity, does that prove the sequence converges?