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
\[\lim_{n\rightarrow\infty}{^{n}}\left(\sqrt {2}\right).\]
by
Sharky Kesa