After "guessing" what the limit of a particular sequence is, what's the general process to prove that this sequence indeed converges to it? (using the definition)
(The definition says that a sequence ${x_n}$ converges if for all $\varepsilon>0$, there exists $N\in\mathbb N$ such that for $n>N$, the distance between $x_n$ and the "guessed" limit point is less than $\varepsilon$.)