Given a real valued function f such that tan{x} x-x for x> 0 f(x) = 1 for x = 0 {x}cot{x} for x <0, then the value of cot lim f(x) is x0 (where {.} and [] denot

Given a real valued function f such that tan{x} x-x for x> 0 f(x) = 1 for x = 0 {x}cot{x} for x <0, then the value of cot lim f(x) is x0 (where {.} and [] denotes fractional part and greatest integer functions (A) 0 (B) 1 (C) -1 (D) does not exist