This question probably sounds quite strange as I'm inexperienced in mathematics, and am not familiar with things like this.
I'm trying to prove that a sequence converges to a particular value that I call "$y$".
The sequence is defined as follows: $$ x_0 = 1,\\ x_{n+1} = \frac{\sin(x_n)}{x_n} $$
For example, $$ x_1 = \frac{\sin(1)}{1}, \text{or just} \sin(1) \\ x_2 = \frac{\sin(\sin(1))}{\sin(1)} \\ $$
And so on. I understand this question may be quite confusing and non-sensical, but any help pointing me in the correct direction would be greatly appreciated.
Even better, if somebody could provide a closed/explicit definition of the nth term, I could try and work out if it converges or not by myself.
Regardless, any help would be very usefull.