# Epsilon-n0 definition of convergence of a sequence

Use the epsilon-n0 definition of convergence of a sequence to prove that $\lim_{n \rightarrow \infty } \frac{ {a}^2_{n} -1 }{{a}^2_{n} +1}}$ = L ℝ.
It would help if you would go back and check the problem again because what you have written doesn't make much sense. You can't prove that " $\frac{a_n^2- 1}{a_n^2+ 1}= L$" without knowing what the $a_n$ are. Perhaps you were asked to show that if that limit exists, then the limit of the $a_n$ exists? Or vice versa?