Showing the sequence is monotone, bounded, and finding the limit

Showing the sequence is monotone, bounded, and finding the limit

The problem I am having is figuring out the way show the following
sequence is monotone:
let $x_1 = \frac{3}{2}$ and $x_{n+1} = {x_n}^2-2x_n+2$, show that the
sequence $x_n$ is monotone and bounded and find the limit.
I have found the first three terms, and found that the sequence is
decreasing, I have followed an example in my text that is the opposite
however my text is vague and I'm not sure how they found where the
sequence is bounded I am led to believe by math that it is bounded by 1.
any hints or suggestions on how to approach the problem would bennefit me
greatly
thanks