# A different kind of derivative

Calculus Level 2

The signum or sign function is denoted by $$\text{sgn }(x) = \dfrac{x}{|x|} \ \text{or} \ \dfrac{|x|}{x}$$.

Then what could be the value of $$\displaystyle \lim_{x\to 0} \text{sgn }(x)$$?

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