![SOLVED: () Glve en examprerortan sequence. Can you give an example of bounded sequence that does not have convergent subsequence? 2. Find the limit of (x,)neN where (a) Xn = 7 (6) SOLVED: () Glve en examprerortan sequence. Can you give an example of bounded sequence that does not have convergent subsequence? 2. Find the limit of (x,)neN where (a) Xn = 7 (6)](https://cdn.numerade.com/ask_images/7eab66dc47d44b068c898881c5b88c29.jpg)
SOLVED: () Glve en examprerortan sequence. Can you give an example of bounded sequence that does not have convergent subsequence? 2. Find the limit of (x,)neN where (a) Xn = 7 (6)
![SOLVED: Example 3.2: (a, )=(,-1,1,-1,.) This is bounded sequence if n is odd, But a, -] if n is even: lim , dose not exist: 7D 3 (a, is not convergent: Exercise: SOLVED: Example 3.2: (a, )=(,-1,1,-1,.) This is bounded sequence if n is odd, But a, -] if n is even: lim , dose not exist: 7D 3 (a, is not convergent: Exercise:](https://cdn.numerade.com/ask_images/d8c8d336c81b455c97df90cdcef5909e.jpg)
SOLVED: Example 3.2: (a, )=(,-1,1,-1,.) This is bounded sequence if n is odd, But a, -] if n is even: lim , dose not exist: 7D 3 (a, is not convergent: Exercise:
![How to Determine if a Sequence is Bounded using the Definition: Example with a_n = 1/(2n + 3) - YouTube How to Determine if a Sequence is Bounded using the Definition: Example with a_n = 1/(2n + 3) - YouTube](https://i.ytimg.com/vi/L5HQgbKqq38/maxresdefault.jpg)
How to Determine if a Sequence is Bounded using the Definition: Example with a_n = 1/(2n + 3) - YouTube
![real analysis - Example on Proving a Recursively Defined Sequence is Convergent. - Mathematics Stack Exchange real analysis - Example on Proving a Recursively Defined Sequence is Convergent. - Mathematics Stack Exchange](https://i.stack.imgur.com/touuj.jpg)