![SOLVED: Let (an) sequence of real numbers It is bounded ifthe set A = 01, 42. is bounded: The limit supremum Lim - sup bounded sequence (an) x is lim sup Un SOLVED: Let (an) sequence of real numbers It is bounded ifthe set A = 01, 42. is bounded: The limit supremum Lim - sup bounded sequence (an) x is lim sup Un](https://cdn.numerade.com/ask_images/dc8b4e1aa1ed466a9bfffd5b5c6b6259.jpg)
SOLVED: Let (an) sequence of real numbers It is bounded ifthe set A = 01, 42. is bounded: The limit supremum Lim - sup bounded sequence (an) x is lim sup Un
![real analysis - $\lim \sup$ and $\lim \inf$ of root and ratio test sequences of a series (Rudin) - Mathematics Stack Exchange real analysis - $\lim \sup$ and $\lim \inf$ of root and ratio test sequences of a series (Rudin) - Mathematics Stack Exchange](https://i.stack.imgur.com/1AEpN.png)
real analysis - $\lim \sup$ and $\lim \inf$ of root and ratio test sequences of a series (Rudin) - Mathematics Stack Exchange
![SOLVED: We define the lim inf and lim Sup of a sequence as follows: lim inf an n+00 lim sup an lim inf ak k2n n*00 lim supak kzn: n700 13 Let SOLVED: We define the lim inf and lim Sup of a sequence as follows: lim inf an n+00 lim sup an lim inf ak k2n n*00 lim supak kzn: n700 13 Let](https://cdn.numerade.com/ask_images/b87bfaf7f33843a7b97b4c298c5ea12a.jpg)