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

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

×

Problem Loading...

Note Loading...

Set Loading...