So excited - Calculator Killer 0

Number Theory Level 1

0 ! ! ! ! ! × 1 ! ! ! ! ! 2 ! ! ! ! ! = ? \huge \frac{0!!!!! \times 1!!!!!}{2!!!!!}= \ ? \

Notation : N ! ! ! ! ! = ( ( ( ( N ! ) ! ) ! ) ! ) ! N!!!!! = ((((N!)!)!)!)!

Too big to even really contemplate Too small to even really contemplate 0.5 0.5 1 1

Zandra Vinegar by Zandra Vinegar

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Andrea Palma
Dec 17, 2015

0 ! = 1 0! =1 . Also, 1 1 and 2 2 are fixed points of the factorial function ( ) ! : N ⟶ N (\ )! : \mathbb N \longrightarrow \mathbb N
hence the result is obviously 1 2 \dfrac{1}{2} .

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0！ = 0！！！！

Robbie Wang - 1 year, 3 months ago
Colin Carmody
Dec 17, 2015

0!=1. 1!=1. 2!=2. Using this data and repeating it, you will get 1*1/2 or 0.5. The trick is to notice that these use factorial that don't keep getting bigger. (Well, 0 gets bigger once, but then gets stuck at one.)

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...