## Calculus 8th Edition

$5 \leq L \lt 8$
Given that {$a_{n}$} is a decreasing sequence $a_{n} \gt a_{n+1} \gt a_{n+2} \gt a_{n+3} \gt ...$ for all $n\geq 1$ {$a_{n}$} is a bounded sequence since all terms lie between 5 and 8. By Monotonic sequence theorem, {$a_{n}$} is convergent {$a_{n}$} has a limit $L$. Since 8 is an upper bound of {$a_{n}$}, $L$ must be less than 8. $5 \leq L \lt 8$