Prove that $limsup|S_n|^{1/n}$ $\le$ $limsup|S_{n+1}/S_n|$
Let $a$ = $limsup|S_n|^{1/n}$ and $L$ = $limsup|S_{n+1}/S_n|$
To prove that $a$ $\le$ $L$ it would suffice to show that
$a$ $\le$ $L_1$ for any $L_1$ > $L$
I am confused about the last part since if
$a$ = $L_1$ then $a$ would be larger than $L$
