Millions of years passed still the same unknown \(x\)
Calculus
Level
5
Let \(\large f_n(x) = \underbrace{x^{x^{ x^{x^{\cdot^{\cdot^{\cdot ^x}}}}}}}_{n\text{ number of } x \text{'s}} \).
Evaluate \( \displaystyle \lim_{x\to0^+} (f_{2016} (x) + f_{2017} (x) + f_{2018}(x)) \).
by
Aakash Khandelwal