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Given a real-valued function `f` such that `f(x)={(tan^2{x})/((x^2-[x]^2) sqrt({x}cot{x}),for x<0,fx >0` Where `[x]` is the integral part and `{x}` is the fractional part of `x ,` then `("lim")_(xvec0^+)f(x)=1` , `("lim")_(xvec0^-)f(x)=cot1`, `cot^(-1)(("lim")_(xvec0^-)f(x))^2=1`, `tan^(-1)(("lim")_(xvec0^+)f(x))=pi/4`

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