>just study real analysis >if you study hard you can do

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is there something specific you need help with? or did you just want to complain since you're too lazy to study and practice?

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ayy lol I'm in the same boat midterm cumming up soon definitely acing it haha

i have 11 problems due tomorrow and right now we just started sequences and defining limits.
i am between panicking and saying fuck it and use my one time drop.
i have all 70s in my hw and everyone else is getting 90s
and i dont want to fuck up my gpa with a meem class when i could have taken intro to real and still get a job as soft eng
yes my love for learning mathematics has died because i found my limit
i did 3 math classes last semwster and i thought i could handle real analysis
wtf

>>8393930
just doo more problems bro :^)

it doesnt fucking help my TA is a fucking gook who cant speak english and spergs out on simple conversations

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>>8393935
why do you dumbshit undergrads just whine instead of asking for help?

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>>8393945
HELP
ME
MOMMY

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>>8393946
post your fucking question imbecile

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>>8393951
I'm not that guy, I don't have any questions. I finished my studying for today and understood most of it so at least today I go to bed not hoping that I don't wake up tomorrow.

>>8393945
because nobody has time. and i dont like bothering people. they would have to be very careful about every part of the solution.


my biggest cocern is HOW THE FUCK DO YOU DETERMINE WHEN TO USE A BALL OR RADIUS R ON WHATEVER FUCKING PROOF. like sometimes they use a ball of half a radius or 1 third the radius or something like that. why when and how?

>>8393963
dude u just look at what they ask for and it should be INTUITIVE what to use for the proof haha

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>>8393963
>because nobody has time. and i dont like bothering people
why are you even in school if you don't want to use the resources available to you?

>my biggest cocern is HOW THE FUCK DO YOU DETERMINE WHEN TO USE A BALL OR RADIUS R ON WHATEVER FUCKING PROOF. like sometimes they use a ball of half a radius or 1 third the radius or something like that. why when and how?
it obviously depends on the question, usually you do it with a general ball of radius r, see what you need after working through the problem, and then going back and setting it to 1/2, 1/3 or whatever

Best way to get better: get help if you need it; do more problems; watch others do problems; study solutions so you learn their methods; study the proofs of theorems so you learn their methods; apply what you learn

Having said that, what do you need help with? Real analysis is hard and always is for new students.

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>>8393965
how did i not think of that?
at last i truly see

>>8393972
it is used a lot in proving compactness?
why? is it show that there finitely many balls ?


also the resources i have are my teacher who does his best in his weekly office hours, a TA gook who cant speak english, classmates who are extremes (kno too much u are a hindrance or kno too little and cannot progress together) and the internet. i use the internet a lot tyvm. but i dont know what it takes to get 90+ score on my hws. i am only getting 70s and thats because i am getttin too much help on the problems to the point i am not doing it by myself. i can read a proof and "understand" but cannot come up with my own solutions

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please GOD tell me that they're asking me to prove this for the standard absolute value metric and not any general metric PLEASE

if i got a score of at least a b on my midterm and i can do 5 problems in 2 hours i will not give up.

>>8394002
Dude.
Relax.
I'll help you with your shit.

Firstly: What you have in front of you is a sequence of real numbers.
Do you know what a metric space is? Do you know what a metric is?
What metric do the real numbers have?

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>>8393995
>it is used a lot in proving compactness?
>why? is it show that there finitely many balls ?
probably it'd help if you posted something more concrete

>also the resources i have are [whining]
you seem more concerned about complaining than succeeding, work harder

>>8394002
yes, most likely the standard absolute value

>>8394002
Any two metrics in R^n are equivalent, so it doesn't matter.

>>8394011
How did you know that the sequence was a sequence of real numbers? Am I overseeing something? Why am I retarded? Will this ever become less painful?

I can answer the rest and do the proof as long as the fuckers aren't asking me to do this for any metric space.

>>8394017
I know it is a sequence of real numbers because you're studying real analysis. I think we can assume a sequence is a sequence of real numbers unless otherwise stated.
Why would they ask you to prove this in any metric space? This is real analysis so they're asking you to prove this in R.
I'm curious, why would you question the fact that you have sequences of real numbers? Why would you question whether or not this is to be done in ANY metric space?

>>8394020
>I'm curious, why would you question the fact that you have sequences of real numbers? Why would you question whether or not this is to be done in ANY metric space?

Because just about every single proof that we've been doing has been for general metric space (except bullshito-weierSHIT), so why wouldn't the questions also be for general metric space?

>>8394020
>Why would they ask you to prove this in any metric space? This is real analysis so they're asking you to prove this in R.
I dunno about him but my RA course was pretty much basic topology and general metric spaces.

>>8394024
Okay, well, why don't you post the full assignment so we can determine this once and for all.

>>8394017
It's either a sequence of real numbers or a sequence of complex numbers.
That symbol is for absolute value and makes no sense in a general metric space.

>>8394030
Exactly. And since he isn't studying complex analysis, I think it is reasonable to assume it is a sequence of real numbers.

>>8394029
It's Rudin chapter 3, first question.

>>8394030
Yeah okay, now that's true, and makes sense. Feels good to know that I'm retarded but at least it made sense in the end.

what other definitions do i need besides sequence convergence for that question?

>>8394030
>>8394033
It could be for any ordered ring.

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>mfw hopeless undergrads struggling with real anal

>>8394041
I used that since the sequence is convergent, it's also cauchy. See if that helps you.

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>>8394044
>mfw I fuck ur mom while she teaches me REAL anal

>>8394037
Okay.
Firstly, Rudin's book is an awful introduction to real analysis. It's great as a book on analysis but first timers are going to find it very difficult. So don't feel bad.

>>8394041
The questions you're asking are all about what makes someone a good problem solver.

What does it mean for a sequence sn to converge?
In order to show |sn| converges, what do you have to show? Write both of these down in full from the definition of convergence if you have to.
What is true about convergent sequences of real numbers?
Ask yourself these questions, write things down, etc. If you get stuck, ask for help and explain what exactly is making you stuck. I'll wait here.
For the converse, I can think of an example right off the bat that shows it is not true. But this might not be immediate if it's not mentioned in the literature or if you don't know what to look for so I can tell you the answer to it if you want.

For now, just try proving the first part.


>>8394042
Dude shut the fuck up.

>>8394037

Which book ? Real and complex analysis or the other ?

>>8394058
Nigga what other Rudin? If there's more Rudin books in store for me after this one I'm legit killing myself. I'm using "introduction to mathematical analysis".

>>8394057
>Firstly, Rudin's book is an awful introduction to real analysis. It's great as a book on analysis but first timers are going to find it very difficult. So don't feel bad.

But it's what everyone else in my class has to use, brainlet or not. What other choices are there for introductory books to real analysis?

wew lads i wish i knew people as patient as you irl.
or i might be just too autistic Even for math standards to find people who i can study with

>>8394057
But I'm just trying to help!

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>>8394062
there's several more rudins, and they only get better (worse)

>>8394062

You negger, "introduction to mathematical analysis" is for negger, " Real and complex analysis" is the true book.

>>8394062
Don't worry about other books. Let's concentrate on solving the problem. See what you get with my suggestions and then come back and ask for help. I'm still waiting.

>>8394068
I know you are and I know you are correct, but it is not helping our stressed out OP right now.

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>>8394062
>What other choices are there for introductory books to real analysis?
Pugh

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>>8394072
>>8394073
Why did I pick math? Is this how I deal with my self-diagnosed depression? Emos cut themselves, I study this fucking SHIT??

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>>8394081
protip, algebra > analysis

>>8394057
okay so now i can see the other sequence is cauchy but that does not guarantee convergence of that series. ehh i am stucm

>>8394086
IN R^K EVERY CAUCHY SEQUENCE CONVERGES WOOOOOOOOOOOOOOO

ALSO REMEMBER THAT WE'RE TALKING ABOUT SEQUENCES NOT SERIES !!

fucking fuck this piece of shit subject aaaaaaaa

>>8394086
WHAT IS TRUE about Cauchy sequences of real numbers?

>>8394098
>>8394102

i just got to that part of the book as soon as i returned to the thread
wew it was all me :^)

>>8394083
sorry i dont want to kill myself yet

>>8394077
What about Tao?

wait so the sequence that we need to prove is a cauchy sequence or has a cauchy sequence?
do the absolute values mean all the terms inside the absolute value are now postive or is it denote the standard metric?

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>>8394112
What about it?

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>>8394102
Regarding the part where "we" ""see"" that ||a| - |b|| <= |a - b|, how the fuck do I see this quickly? I had to dick around a lot with muh triangle inequality before I saw it, and I only did that because I was given a tips to do so.

>>8394127
You don't see it quickly the first time. That's just a basic formulation of the triangle inequality.
But now, on the next problem that involves the triangle inequality, you'll be quicker to remember it, won't you? Especially because you figured it out yourself.

>>8394121
Is it recommended?

>>8394127
|a| = |a - b + a| <= |a - b| + |b|
Subtract |b| to get
|a| - |b| <= |a - b|.
By symmetry we also have
|b| - |a| <= |a - b|.
So together
||a| - |b|| <= |a - b|.

>>8394135
Perhaps, yes. Yo thanks for the help buddy, I only 8 questions to go, ending with Ruding 3.23. Surely question 23 can't be much harder than 1!

Real Analysis has alot of standard tricks. Found it much easier than topology desu.

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>>8394142
go read some amazon reviews cuck, you won't get anywhere in life if you can't even use google

>>8394142
i understand now why the other fellow was wondering whether it was the standard metric or any metric in general that the question was true. so for any eucledean space, i can always use the standard metric to prove anything unless stated otherwise.
yes this might be a retard queation but this causing me.confusion

>>8394145
I just looked at 23 and did it in my head. It's not that hard. If you need help, I will be here.

>>8394062
Baby Rudin and Papa Rudin

FOR 1 ARE WE SUPPOSED TO PROVE THAT THE SEQUENCE CONVERGES OR THAT THE CAUCHY SEQUENCE OF THAT SEQUENCE CONVERGENCE BECAUSE SO FAR I ONLY PROVED THAT THERE IS A CAUCHY SEQUENCE BUT IDK ABOUT THE ACTUAL SEQUENCE ITSELF

>>8394083
>Abelian categories

the most pig disgusting branch of algebra

>>8394083
I second this

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>>8394175
>no grandpa rudin
am i even on /sci/?

>>8394177
You are supposed to show if s_n converges, so does |s_n|, you can use Cauchy sequences to show that.

>>8394195
i wasnt gonna figure out by myself. like not even close. maybe if i stared at the equation for a good 5 hours.
wtf am i still cut for math or is there a point when it is clear to quit.

>>8394185
>indian edition

[math]lel[/math]

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>>8394171
For 3, is there a way to show convergence without showing that the sequence is increasing and bounded (which is what I did)? I'm asking since the question asks us to show that the sequence is convergent, and that it is bounded by 2. Making me think he wanted us to use some other method. I tried by using the definition of convergence and cauchy, but that got me nowhere.

>>8394215
You can use the definition of convergence, try showing it is cauchy, argue by contradiction...
keep in mind, "and" doesn't mean do this and then that... and just means show both. Showing it is bounded above by 2 and then showing it is monotone to show it is convergent is perfectly fine.
It's also perfectly fine to use later exercises to help prove previous exercises.

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>math major
>can barely do analysis and topology homework problems

algebra stuff is really easy
why is this so hard for me

i'm going to have to drop out at this rate, my GPA is already pretty low because i did so bad in my required humanities classes

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>>8394256
>not opting-out of the humanities classes
what the hell are you wasting your time for?

shit this thread is so fucking pathetic

>>8394289
says king pathetic himself

>>8395180
pathetic shitpost

>>8393963

Dude, just:

>Read the question carefully
>Study in a quiet place
>Be well organised

And university is easy! Stacey has more than enough time to finish her Sociology essay before hitting the clubs, why can't you finish your work? Stacey is more mature, haha.

>>8394149
I trust /sci/ more than Amazon reviews.