Suppose x1=tan^-1 2 >x2>x3>.... are the...

Suppose `x_1=tan^-1 2 >x_2>x_3>....` are the real numbers satisfying `sin(x_(n+1)-x_n)+2^-(n+1)sin x_nsinx_(n+1)` for all `n> 1` and `l=lim_(x->oo) x_n` , the value of `[4l]` is...where [t] denotes greatest integer function.

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