When Towers Meet Radicals

Algebra Level 3

Find largest possible integer value of a such that

2+a2+a2+a2+...>aaaa...2+\cfrac{a}{2+\cfrac{a}{2+\cfrac{a}{2+...}}}>\sqrt{a\sqrt{a\sqrt{a\sqrt{a...}}}}

This is part of the set Fun With Problem-Solving.

Donglin Loo by donglin loo
×

Problem Loading...

Note Loading...

Set Loading...