- #1

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## Homework Statement

If x

_{n}-> ∞ then x

_{n}/x

_{n+1}converges.

## Homework Equations

## The Attempt at a Solution

I can see why the statement is true intuitively, but do not know how to make a rigorous proof. I have looked at the definitions of divergence/convergence but can get any ideas of how to prove this. Do I maybe start by showing that x

_{n}/x

_{n+1}is bounded?