>just had a calculus exam
>final two questions were obviously meant to be solved with specific methods (taylor, and elipson-delta)
>tfw couldnt remember either
>tfw thought i got the correct answer anyways
>tfw just wrote a short python script that shows my answer was wrong by a factor of 4000
should i just an hero?
Just had a calculus exam
Logan Foster
Chase Fisher
>elipson-delta
nobody needs that anyway
>taylor
how can you not remember that?
Matthew Moore
>professor said there was no point learning elipson-delta. But one of the problems was about proving a limit, how tf do you do that without elipson
idk if taylor was meant to be used for the second question but it about approximating a series with an error margin less than 1/100. i know the normal taylor shit
>fucking cucked by my professors desu
Nolan King
"Elipson-delta" is not a mathematical concept, so your professor was right about that.
Brody James
Many ways. Just computing the limit normally is a proof, you can also use stuff like finding two other functions with the same limit, one that is strictly smaller or equal and other geq and so on who knows
Zachary Gomez
results are up online. turns out i got it right on both questions
>feelsgoodman
Leo Hill
Good job, user!
Jackson Scott
i stopped counting how many times i was close to killing myself after an exam that i actually did well in. i hate this shit
Robert Myers
This. I usually did about 15% better than i anticipated, well aside from fucking language which is riddled with autistic exceptions. I got Cs in foreign language and it dropped my GPA from 3.8 to 3.5 i was we so god damn mad
Ian Cook
>do well on all the exams i think i did shit on
>bomb the ones i think i did good on
Blake Morgan
Grats brainletbro
Zachary Parker
This still makes you a brainlet because your script said you were wrong by a factor of 4000 lmao.
Ryder Anderson
always this
Connor Wilson
But i still dont know wtf is wrong with my script Veeky Forumsbros help..
N>= 40000 is the correct answer which is pretty much what i got. But my correct(?) script says n=10
William Hall
Brainlet here. How do you show that this series converges to 2?
Ian Ross
en.wikipedia.org
Set the upper limit to R and then the integral for lim R->infinity = 2
Gavin Johnson
>while true
>if() break
*endless screeching*
Daniel Evans
>fucking cucked by my professors desu
No, you're just a brainlet, you couldn't even remember how to use Taylor expansion.
Tyler Long
>No, you're just a brainlet, you couldn't even remember how to use Taylor expansion.
For a power series*
I know normal taylor series (one of the questions on the exam was about it)
And i got the question right anyway.
Gabriel Jones
ok nvm maybe im a brainlet. But can someone tell me whats wrong with my script?
Dylan Wilson
the script isn't wrong you dunce
desmos.com
Hunter Campbell
Then where is the messup? This is the examiners motivation
Dylan James
what the fuck
Lucas Diaz
The total sum is not two, it is around 2.61.
See wolframalpha.com
Brody Reed
These results aren't incompatible. If the absolute error is less than .01 for N > 10, then it is also less than .01 for N > 4000.
It's important to recognize that the integral on the second line bounds the sum above, it isn't equal to the sum.
William Brown
True, but the integral approximation actually yields an error that is pretty close to the real error, since shifting the domain of integration by 1 also gives a lower bound on error.
Isaac Bailey
Shit.But why isnt it 2? I thought you could use the Maclaurin–Cauchy test en.wikipedia.org
The sum is continuous for all n in [1,infinity) and decreasing. So the generalized integral should give the sum. But why doesnt it?
fuck math desu this shit sucks
Parker Garcia
Think about why the integral test works.
Christian Baker
>the sum is equal to the integral
ah yes...
Dylan Richardson
Under those conditions, the integral test gives a lower bound for the sum.
Ryan Wood
Man im stupid. hopefully i get some points at least even though my math was fucked
William Allen
Hudson Foster
Math is fucking gay
Eli King
no u