/sci/ - Science & Math » Thread #12920887

162KiB, 1146x1139, 4.7.png

View Same Google iqdb SauceNAO

Anonymous Sat 03 Apr 17:01:04 2021 No.12920887 View Reply Original Report

Quoted By: >>12920891 >>12920897 >>12920902 >>12920910

How does $y=x^x^x^x^x^...$ behave when $x$ is close to 0? I can't figure it out.

Anonymous

Anonymous Sat 03 Apr 2021 17:02:04 No.12920891 Report

Quoted By: >>12920899

>>12920887
$x^{x^{x^{x^{...}}}$

Anonymous

Anonymous Sat 03 Apr 2021 17:02:46 No.12920897 Report

Quoted By: >>12920906

>>12920887
hint: y = x^y

Anonymous

Anonymous Sat 03 Apr 2021 17:03:05 No.12920899 Report

Quoted By:

>>12920891
>x^{x^{x^{x^{etc}}}

Anonymous

Anonymous Sat 03 Apr 2021 17:03:47 No.12920902 Report

Quoted By: >>12920921

>>12920887

It tends to 1.

Anonymous

Anonymous Sat 03 Apr 2021 17:04:20 No.12920906 Report

Quoted By:

>>12920897
Any approximation formula y=f(x) around x=0

Anonymous

Anonymous Sat 03 Apr 2021 17:06:14 No.12920910 Report

Quoted By:

>>12920887
define "behave" or use a different word. Your answer is 0 and it is a limit.

Anonymous

Anonymous Sat 03 Apr 2021 17:09:42 No.12920921 Report

Quoted By:

>>12920902
It's something like this

Capcode	All Only User Posts Only Moderator Posts Only Admin Posts Only Developer Posts
Show Posts	All Only With Images Only Without Images
Deleted Posts	All Only Deleted Posts Only Non-Deleted Posts
Ghost Posts	All Only Ghost Posts Only Non-Ghost Posts
Post Type	All Only Sticky Threads Only Opening Posts Only Reply Posts
Results	All Grouped By Threads
Order	Latest Posts First Oldest Posts First