Let \( {x_n} \) be a convergent sequence of real numbers. If \(x_1 > π + √2 \) and \(x_n+1 = π + √(x_n − π) \) for n ≥ 1, then If L is the limit of this sequence then what will be the value of [-π⋅ L ] where [.] denotes the greatest integer function ?
1
-12
2
-14
3
-11
4
-10