Math Help - what is the formal proof that a sequence diverges ..

1. what is the formal proof that a sequence diverges ..

i got (n^2+1)/n
when n->infinity the limit is infinity.
what is the formal proof that a sequence diverges ?

2. If $\varepsilon > 0$ then $\left( {\exists K \in \mathbb{Z}^ + } \right)\left[ {K > \varepsilon } \right]$.
Now just note that $\frac{{K^2 + 1}}{K} = K + \frac{1}{K} > K > \varepsilon$.