# Why can't I tick all of these options?

Calculus Level 2

$\LARGE x^{x^{x^{\cdot^{\cdot^\cdot}}}}$

The iterated exponentiation above equals 1 when $x=1.$

The same expression can have a value of $\text{\_\_\_\_\_\_\_\_\_\_}$ for some real number $x.$

Fill in the blank.

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