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In F(x)=log(c o s e c^(- 1)x)+(x^2-3x+2)...

In `F(x)=log(c o s e c^(- 1)x)+(x^2-3x+2)/(x^2-2x+1)+sqrt(4[x]-[x]^2)`, where [ . ]= greater integer function, then the largest interval of x for which `F(x)` is defined is

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