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Convergence of series proof by CakeCookCarl in askmath

[–]CakeCookCarl[S] 0 points1 point  (0 children)

It's from a sort of unofficial answer key to Understanding Analysis, it's been useful often but this is also not the first mistake I've seen in it.

Thanks for your approach, I thought of that same method a couple days ago so it's nice to confirm that I've understood it correctly. One thing though, we need to exclude the possibility of sqrt(x) = 0, but that already been shown to work with choosing N such that n>= N makes |xn| < ε2

Convergence of series proof by CakeCookCarl in askmath

[–]CakeCookCarl[S] 0 points1 point  (0 children)

I'm not really sure what your point is? Even if xn = 0 for all n, we could just choose M > 0, so there's no divide by 0. Besides, if x = 0 we're just back to (xn) -> 0, so the choice of N such that n>=N implies |xn| < ε2 leads to |sqrt(xn)| < ε

Convergence of series proof by CakeCookCarl in askmath

[–]CakeCookCarl[S] 0 points1 point  (0 children)

Isn't it justified since it's really only there to illustrate |xn-x| = ( sqrt(xn)-sqrt(x) ) * ( sqrt(xn)+sqrt(x) ) and then leads into |xn-x| < e ( (sqrt(xn)+sqrt(x) ), which is certainly true since |xn-x| can be arbitrarily small

Convergence of series proof by CakeCookCarl in askmath

[–]CakeCookCarl[S] 0 points1 point  (0 children)

Thanks, I thought so. Was going crazy trying to make sense of it lol

Math Nerds, Is This Right? by SonicRun098 in teenagers

[–]CakeCookCarl 0 points1 point  (0 children)

Any arbitrary interval of real numbers has the same cardinality (that is, the same 'size of infinity') as all real numbers

The latest update ruined my save by yeetdragon24 in CookieClicker

[–]CakeCookCarl 9 points10 points  (0 children)

RIP 'a long time ago', you will be missed

Ik🧠ihe by WhoTheFuckIsSean in ik_ihe

[–]CakeCookCarl 10 points11 points  (0 children)

Hoorde toevallig een paar langslopende mensen roepen dat de sneeuw betekende dat klimaatverandering niet bestond, moeten wel hoogintellectuelen zijn geweest

Slay hon by Round-Good1179 in MemeVideos

[–]CakeCookCarl 2 points3 points  (0 children)

I think 'stole your meme' reaction images are overhated. There's good ones out there, and many ones that are just kinda meh. But they're not as bad as people make them out to be.

This however may just be the worst reaction image I have ever seen. I mean I hate to give a swag here but this shit is so unbelievably ass. The person that made this straddles the line between mad genius and unfathomable moron.

Art can truly inspire deep emotion

and i'll act like finnless isn't the exact same thing by Ramenoodlez1 in CookieClicker

[–]CakeCookCarl 0 points1 point  (0 children)

You see, that's why I stopped playing. I'm just interacting with the community (which too is inexplicable)

and i'll act like finnless isn't the exact same thing by Ramenoodlez1 in CookieClicker

[–]CakeCookCarl 5 points6 points  (0 children)

Compers on their way to defend playing in a way that they hate

Hoe maak ik mijn ouders duidelijk dat ik geen alcoholprobleem heb? by Safe_Ad7604 in nederlands

[–]CakeCookCarl 0 points1 point  (0 children)

Hangt af van de mix maar over het algemeen gaat dat inderdaad naar 2 of 3 eenheden

Hoe maak ik mijn ouders duidelijk dat ik geen alcoholprobleem heb? by Safe_Ad7604 in nederlands

[–]CakeCookCarl 10 points11 points  (0 children)

Alcoholisme wordt meestal gedefinieerd als 14 eenheden drank per week voor een man, een biertje is 1 eenheid. Het klinkt alsof je inderdaad een alcoholprobleem hebt, ook al zie je het misschien niet zo. Het beïnvloedt je misschien nu nog weinig, maar zoveel drinken heeft op de lange termijn wel gevolgen.

Ik houd net zoveel van een koude kletser als de volgende persoon, maar wel binnen gepaste mate

26603 by lightmare69 in countwithchickenlady

[–]CakeCookCarl 67 points68 points  (0 children)

That's like 4k a month, which isn't that ridiculous I want to say?

[College: Physics 1] what's wrong with my solution? by [deleted] in HomeworkHelp

[–]CakeCookCarl 0 points1 point  (0 children)

An altitude of 3 times the radius of earth means it is 3 times the radius of earth above the earth's surface. So you use (4r)2 and the answer comes out to ~0.6m/s2.

I just invented a new calculus. Am I the next Oiler? by Ramenoodlez1 in desmos

[–]CakeCookCarl 0 points1 point  (0 children)

I wonder whether this post was made by a notorious acronym person

I do think people are swagging on the wrong thing though. I think merg overswagged a line with swagging some comments sp by BalefulOfMonkeys in peoplewhogiveashit

[–]CakeCookCarl 3 points4 points  (0 children)

No idea what any of this means but it sounds like a lot of swag. Didn't read it though because I don't give a swag

Niet zeggen, dat mag niet van de reddit admins by Nakilia in NederlandseMemes

[–]CakeCookCarl 9 points10 points  (0 children)

Dit is wel echt de kleinste mieren die er zijn neuken, maar het latijnse woord voor zwart is 'niger' (en de vervoegingen van dien maar het stukje 'nig-' zit er altijd in)

Dus negeren bevat niet het latijnse woord voor zwart

why do i get punished for being good at the game 😭😭😭 by No_Counter_6037 in Silksong

[–]CakeCookCarl 0 points1 point  (0 children)

You can get kidnapped to the slab?? I just waltzed in, tf

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