1. ## convergence question..

prove or desprove that if An->1

then An+1/An ->1

??

2. Originally Posted by transgalactic
prove or desprove that if An->1

then An+1/An ->1

??
We know that if $p_n\to{p}$ and $a_n\to{q}\ne{0}$ then $\lim\frac{p_n}{q_n}=\frac{p}{q}$

So in your case since $\lim A_n=\lim A_{n+1}=1$ then $\lim\frac{A_{n+1}}{A_n}=1$