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## Homework Statement

Show that if [tex] Lim|\frac{a_{n+1}}{a_{n}}| = L > 1, [/tex] then [tex]{a_{n}\rightarrow \infty[/tex] as [tex]n\rightarrow\infty [/tex]

Also, from that, deduce that [tex]a_{n}[/tex] does not approach 0 as [tex]n \rightarrow \infty [/tex].

## Homework Equations

The book suggests showing some number r>1 such that for some number N, [tex]|a_{n+1}|> r|a_{n}|[/tex] for all n

__>__N.