If $f\left(x\right)=x\left(\frac{e^{|x|+\left[x\right]}-2}{\left|x\right|+\left[x\right]}\right)$ then (where [.] represents the greatest integer function) ${\left(\lim \right)}_{x{\vec{0}}^{+}}f\left(x\right)=-1$ b. ${\left(\lim \right)}_{x{\vec{0}}^{-}}f\left(x\right)=0$ c. ${\left(\lim \right)}_{x{\vec{0}}^{}}f\left(x\right)=-1$ d. ${\left(\lim \right)}_{x{\vec{0}}^{}}f\left(x\right)=0$

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