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if the sequence*
the point is k approaches infinity, it never actually gets there so your value never actually gets to 0
yes, I know it'll diverege if it tends to infinity, but the prof said that if the limit of ak =0 then that doesn't mean that it converges. Isn't it confusing? because the first rule states that if the sequence converges , that means that the limit = 0. lost lol
he said the contrapositive of the corollary is false, why?
well maybe he is saying that if the limit =0 then the corollary is false because the corollary is basically saying that 0 is an outlier (the dotted line, cant remmebr the correct name) and if it actually gets there then that isnt an outlier, rendering the first statement false?
lol, what are you trying to say?
im saying if the first thing claims that you cant be at 0 and the second thing says that you are at 0 then the first thing is lieing
but the first thing says that it is at 0
an the first rule is correct
no, the first part says you get really close to 0, you never actually get there
yes I know, it'll "approach" zero, still this says that it'll converge
yeah, at infinity... which you cant get to, meaning you cant get to 0. and if your at 0 then your limit reached infinity. thats pretty intense if you reach an unreachable number
which part are you talking abt lol, the first rule? or the corollary?
you're running in circles >_<
exactly, the circles is on purpose. the second statement renders the first one false.
convergence means that the sequence will end with a finite number while divergence means that the sequence will reach infinity or will have an alternating endless value.
be direct , please
I've been in enough circles already x_x with my prof
how does this corollary work? if it's not equal to 0, then I agree, it diverges, but what if it actually is = 0?
wouldn't that mean that it'll converge?
I was told that it's false, it won't converge , we'll actually don't know what it will do, but WHY?! LOL
what difference does it make?
i guess im confused by the original statement. but if you have a number lim approaching infinity = anything. it never reaches that "anything" so i'd say it does NOT converge
see what I mean? I am too, that's why I have asked LOL
confused too, starlet
by the way, how are you?
great thx :), yes I am confused :(
wait a sec, angoo!
:) who else would it be if not me :)
have you seen the new groups?
happy birthday ^_^! no one else calls me starlet but you
:) nice, well, it is good that OpenStudy is improving... anyway, got my exams to university on the 12th, thats like i have 3 days to study :)
no 2 days to review and one day to relax
oh, and have you heard of a website called khan academy
khan academy is boss. fact.
so mimi, whats up? oh, and you can see the intro vid at http://www.khanacademy.org/
dunno, never heard about it, but will do , later on when I'm done with my midterms
lol, nothing but midterms are up starting on Sunday, I haven't been here for 2 days now, you?
I was surprised by the number of videos and topics ONE guy made it is just crazy http://www.khanacademy.org/#browse have a quick look at the list
I did + faved it to go through it later
ok, anyway, have any plans for today?
yeah, one of them is to wish you a great HAPPY BIRTHDAY
ok, thanks =D you are the first person that did it =D
I know =P np :) and the other plans is to get ready and look like a princess for my sister's engagement part tonight ^^"
which is the thing that I'm not looking forward to ._.
yey! nice, engagement..... so are you going to post some pics of yourself as a princess online?
LOL, I knew it
I don't like strangers touching my hair or anything else!
so how is Dubai?
been windy from time to time, but good
LOL the snow is starting to melt
which I am really happy about
I need summer
I love summer, but would love to play with the snow lol
well, some time once you finish your studies you will go to a winter country.. am I right?
maybe, I do love the country though :)
I mean, not to live but to visit :)
far away from the people where peace and quite can be attained :) , that's one of my dreams. Is to live in simple small house, with a beautiful garden, waking up in the morning for walks and etc.
oh, yeah lol I guess
well, in that case it might be easyer to live in a warm country.... anyway it is nice to travel
yes it is ~
Enough about me, what about your plans?
my plans are to practice derivation, differential equations, some pre calculus stuff, maype some physics.... well basically anything that might help me in exams :)
only for 2 days, and the last day is to do something fun, right?
no... last day I will stdy like mad.. read calculus, STEP III, and stuff like that, I need to fill my brain with info
no no and no
do you want to mess up?
I dont want to mess up, I wanna pass...
then have fun the last day!
why? how will that help me pass? I just don see it.
it's like you are releasing all the stress and pressure out just before the test. This will help you to get a good shut eye and great energy in the morning
ok, I will only study half day... and the rest I will spend relaxing
you'll only be getting yourself nervous.
I am already nervous, alot :(
on this my depends my future
listen, did you study?
what do you mean?
did you study? Yes/No?
I just woke up
no, in general
yeah, I studied, but there are still somethings I need to revise. But I am just afraid I can do worse than other 40 guys. Because there are alot of applicants, like 300 and out of those 300, 40 best will be taken.
Do you really believe that you won't be one of these 40 guys?
well, I dont know, it is imposible to know the future, those 300 applicants might be studing really hard, and might be better prepared. Of course, anything can happen. I just hope I get in, because if I don't, I will have to quickly figure out what to do :)
do you want to pass?
yeah, heaven yeah
then you are going to be one of those 40 guys. :) Put that in mind. A person that knows what he/she wants, and is clear about it, will reach what he/she wants :) and you will
all you've got to do, is have a good night sleep, wake up fresh in the morning, heavy breakfast and ace that exam!
Just do your best ^_^ that's all. Don't over-work yourself.
no more buts, just more yeses ,cans and dos
ok, I was thinking in a simmilar way, just that I got this idea, WHAT IF all of those 300 guys KNOWs what they want and are clear about it? it is more about knowledge+intelligence than the desire to pass.... I think...
don't catch the what if disease, you know what you want, and that's that, we don't care about what others want atm
the more powerful you see your way , the better the chance that you'll pass. Trust in your abilities :)
and what about you? aren't you an intelligent person too?
why do we want to think of other people's intelligence and deny ours? did you really forget what you are capable of doing?
we all have abilities, we all can achieve, but we all achieve differently :)
:) thanks for motivation
my words have no meaning if you are not clear their meaning andy
I know exactly what you mean, you are basically talking about the power of positive thinking. Am I wrong?
I wish you the best of luck :), if you see yourself getting into the (but, what if, I can't etc etc) disease, stop yourself and say the opposite :)
ok, I WILL GET IN
YES YOU WILL!
and I know you will :)
end of story !
and what would I do without you :)
lol, again, exaggerating :)
I just open my big mouth from time to time.
and the stuff that you say with your big mouth is good, anyway, I dont want to keep you long here, as you gotta get "princessed-up"
not yet , don't remind me!
I'm off to do some sequence solving >_>
ok, good luck with sequencing, and good luck with the endgagement. I hope it will make you happy. :)
being in the spotlight? no , no no, anyways I hope my sis enjoys it +thanks you too ^_^