# Thread: Convergence/Divergence Proof

1. ## Convergence/Divergence Proof

Prove or provide a counterexample: If $(s_n)$ and $(\frac {s_n}{t_n})$ are convergent sequences and $t_n \neq 0$ for all $n$, then $t_n$ converges.

2. ## Re: Convergence/Divergence Proof

Originally Posted by mmstone14
Prove or provide a counterexample: If $(s_n)$ and $(\frac {s_n}{t_n})$ are convergent sequences and $t_n \neq 0$ for all $n$, then $t_n$ converges.
What if $s_n=\dfrac{1}{n}~\&~t_n=n~?$