UoM General Chat

[vcestudent94]

Oh wow, I feel so retarded considering I finished 20 minutes early and only looked at Q7. It's probably far fetched but what would happen if I told the lecturer that I accidentally missed a question?

[lzxnl]

The one I had trouble with was integrating e^x/(e^x+x^2) over R, I ended up using a comparison test to show that it diverged, and therefore it didn't exist as an improper integral but I dunno how correct that is

Just saying, does this even need a comparison test? This function approaches 1 as x becomes large.

[Starlight]

Oh wow, I feel so retarded considering I finished 20 minutes early and only looked at Q7. It's probably far fetched but what would happen if I told the lecturer that I accidentally missed a question?

They wouldn't be able to do anything about it unfortunately, it's not really a case of special consideration.

[vcestudent94]

They wouldn't be able to do anything about it unfortunately, it's not really a case of special consideration.

Cheers. Really gutted because they wern't very hard questions at all
Oh well only one question...

[Starlight]

Cheers. Really gutted because they wern't very hard questions at all
Oh well only one question...

You will be able to learn from it though, i've done the same thing too once but with a whole page of questions lol

[Gekko]

Hey guys,

So I have just had to submit an application for special consideration for exams.

A close member of my family passed away last Monday and I have been sick since late week 12.

What do you guys anticipate will be the result of my special consideration application?

[seretide]

Hey guys,

So I have just had to submit an application for special consideration for exams.

A close member of my family passed away last Monday and I have been sick since late week 12.

What do you guys anticipate will be the result of my special consideration application?

Sorry for your loss...
I don't have any idea how this process works, but on those grounds I wouldn't see why they wouldn't?

[LeviLamp]

They should definitely accept the application, death of a loved one is one of the criteria you can use to justify special consideration, and if you have illness documentation you should be fine.
My condolences

[vcestudent94]

Nah, most people I've spoken to found the exam harder than previous semesters so I the fact that you think it was pretty straight forward might mean you've done pretty well

Thanks man, I hope so!

[lzxnl]

Yeah, but it isn't a sequence, we're not looking at what happens to e^x/(e^x+x^2) as x becomes large and even if we were, it isn't enough to just say that it converges to 1, you would need to prove it.

The integral doesn't actually exist as far as I can tell, and the only way I can think of being able to prove it is by using the comparison test

If you have a function which doesn't tend to zero over the real numbers, integrating it over the real numbers is bound to diverge. Name me one instance where this doesn't hold.

For example, if you really wanted to, you could show that for some , you could always find x such that
which is a consequence of the limit
so then you could use a comparison test to show that the integral diverges

But is the last step strictly necessary? One necessary condition for an improper integral of the kind given to converge IS for the function to approach zero as x becomes large.

[jinny1]

If you have a function which doesn't tend to zero over the real numbers, integrating it over the real numbers is bound to diverge. Name me one instance where this doesn't hold.

For example, if you really wanted to, you could show that for some , you could always find x such that
which is a consequence of the limit
so then you could use a comparison test to show that the integral diverges

But is the last step strictly necessary? One necessary condition for an improper integral of the kind given to converge IS for the function to approach zero as x becomes large.

Holy christ and you are still just in high school....wtf

[scribble]

Yeah, but it isn't a sequence, we're not looking at what happens to e^x/(e^x+x^2) as x becomes large and even if we were, it isn't enough to just say that it converges to 1, you would need to prove it.

The integral doesn't actually exist as far as I can tell, and the only way I can think of being able to prove it is by using the comparison test

well i compared it to 1... seeing as [e^x/(e^x+x^2)]/1->1 as x->inf, and the integral of 1 doesnt exist as an improper riemann integral over the interval they gave us.... but nliu is right; if the integrad doesnt converge to zero as n->inf or you're never going to get the existance of an improper riemann integral with infinity as the upper terminal.
fml though, being the genius that i am, i said that the sequence n!sin(npi) diverged by unbounded oscillation as n->infinity. crying. and i failed to integrate a bajillion things. what are trig identities idk lol. in my head tan^2(x)=1+cos^2(x) :'D

[nubs]

Yeah I get what he was saying, he's 16 and he knows the stuff better than I do
Also what question was that for? The n!sin(npi)?

[scribble]

oh it was on the accelerated math exam, we share some questions with you guys, but probably not that one;;;

[nubs]

ahh good, had me worried there for a sec