Notes on x^x^x^....

For details, check out my mini-series on infinite power tower:

bprp #fast

[MathAdam]

I knew someone whose infinite tower power fell on him. Tragic.

[CoolRockSOHAIL]

Im curious about the proofs of these results 😅

[fmetal]

nice but, HOW???
pretty curious to know how to proove this one haha

[dr.rahulgupta]

Thanks for the nice explanation. Rahul

[awesokestephen]

i have a question.
suppose we take x^3=3.
Obviously, x=cbrt(3).
Now, if we take cbrt(3)^cbrt(3)^3, that is still equal to 3.
We can continue this recursively: cbrt(3)^cbrt(3)^cbrt(3)^3=3,

so why is it false to say cbrt(3) infinite power tower does not converge to 3? I know it is false; I have seen proofs of the convergence/divergence of infinite power towers but I'm not sure how they apply to cases such as these.

[Armbrust]

Shouldn’t the three dots be at the bottom instead of the top?

[soha]

As a science / pcb student
I literally didn't get a single word 🤦‍♀️😬

[purim_sakamoto]

うむ　収束域と取りうる値はわかるんだけどさぁ･･･


なんかもーーーわからんの！😢😢😢😭😭😭

[zungnguyen]

I'm too stupid for this, all I know is E.