Millions of years passed still the same unknown xx

Calculus Level 2

fn(x)=xxxxx number of x’s = n\large f_n(x) = \Large \underbrace{x^{x^{ x^{x^{\cdot^{\cdot^{\cdot ^x}}}}}}}_{\text{ number of } x \text{'s = } n}

What is limx0+(f2016(x)+f2017(x)+f2018(x))? \displaystyle \lim_{x\to0^+} \big(f_{2016} (x) + f_{2017} (x) + f_{2018}(x)\big)?

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