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Thread: Convergence/Divergence Proof

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    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.
    Last edited by topsquark; Nov 6th 2017 at 10:20 AM.
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    Re: Convergence/Divergence Proof

    Quote Originally Posted by mmstone14 View Post
    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 $s_n=\dfrac{1}{n}~\&~t_n=n~?$
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