Chapter 9 - Infinite Series - 9.2 Monotone Sequences - Exercises Set 9.2 - Page 613: 25

We can see that the given sequence is both bounded and monotonic, so it is convergent. So, the limit of the sequence can be any number between $1$ and $2$, including 1 and 2 as well.

We can see that the given sequence is both bounded and monotonic, so it is convergent. So, the limit of the sequence can be any number between $1$ and $2$, including 1 and 2 as well.