Infinite Tetration!
Algebra
Level
2
Tetration is defined as
\[\Large {^{n}a} = \underbrace{a^{a^{\cdot^{\cdot^{a}}}}}_{n \ a\text{'s}}.\]
Find the value of
\[\lim_{n\rightarrow\infty}{^{n}}\big(\sqrt {2}\big).\]
by
Sharky Kesa