this post was submitted on 06 Jan 2024
274 points (86.1% liked)

memes

10392 readers
1923 users here now

Community rules

1. Be civilNo trolling, bigotry or other insulting / annoying behaviour

2. No politicsThis is non-politics community. For political memes please go to !politicalmemes@lemmy.world

3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month

4. No botsNo bots without the express approval of the mods or the admins

5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.

Sister communities

founded 1 year ago
MODERATORS
Tenthrow@lemmy.world
The_Picard_Maneuver@lemmy.world
The_Picard_Maneuver@startrek.website
274
EDIT: I THINK I STAND CORRECTED (lemmy.zip)
submitted 10 months ago* (last edited 10 months ago) by balderdash9@lemmy.zip to c/memes@lemmy.world
219 comments fedilink hide all child comments
 

I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!

you are viewing a single comment's thread
view the rest of the comments
[–] deo@lemmy.dbzer0.com 3 points 10 months ago* (last edited 10 months ago)

but in this case we are comparing the growth rate of two functions

oh, you mean like taking the ratio of the derivatives of two functions?

it's like the elementary school playground argument saying "infinity + 1" there is no "infinity + 1", it's just infinity

but that's not the scenario. The question is whether $100x is more valuable than $1x as x goes to infinity. The number of bills is infinite (and you are correct that adding one more bill is still infinity bills), but the value of the money is a larger $infinity if you have $100 bills instead of $1 bills.

Edit: just for clarity, the original comment i replied to said

Lhopital's rule doesn't fucking apply when it comes to infinity. Why are so many people in this thread using lhopital's rule. Yes, it gives us the limit as x approaches infinity but in this case we are comparing the growth rate of two functions that are trying to make infinity go faster, this is not possible. Infinity is infinite, it's like the elementary school playground argument saying "infinity + 1" there is no "infinity + 1", it's just infinity. Infinity is the range of all the numbers ever, you can't increase that set of numbers that is already infinite.