# Interesting Power Tower Limit!

Calculus Level 4

$\lim_{x\to 0^-} f(x) = \lim_{x\to 0^+} f(x)$

Consider the power tower function $$f(x)$$, where there are many $$x$$'s. Is the above limit true for all numbers of $$x$$'s, including infinitely many $$x$$'s?

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