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hal_stirrup
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In Infinite series the sum of infinite series is the (partial sum).
Is that because its infinite and we can't sum up an infinite series ??
 2 years ago
 2 years ago
hal_stirrup Group Title
In Infinite series the sum of infinite series is the (partial sum). Is that because its infinite and we can't sum up an infinite series ??
 2 years ago
 2 years ago

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hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
thanks of viewing.
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
Well, it's convenient for looking at convergence and limits, no?
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
yes. it is.
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
so what do you think of my question?.
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
Well, we can sum up the series (if the limit of partial sums exists)
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
we can? how do we know if the limit of partial sums exists?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
Convergence
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
so your saying if a series Converges it partial sums exists
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
Well, if a series diverges, there wouldn't be any convergence, right?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
And you wouldn't be able to add it up however hard you tried
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
yes BUT because its a infinite series whether it converges or diverges we cant sum it all up?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
That's what I'm saying, if it converges then you can (usually) add it up (analytically).
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
i see what your saying sure. i just don't see the idea of converges or diverges has anything to do with the fact that a series Converges and there for the partial sums exists
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
If the series converges then you can take a limit
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
All well and good that you are saying the facts. :) i really want to understand why we can take a limit when series converges and not diverges.
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
am sorry am being a pain.
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
the limit of a divergent series is infinite and some other limits might not exist (there are shades of convergence, absolute, conditional...)
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
You must have a way, analyytically, to approach a limit (even if you do not actually ever reach it)
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
I am assuming you have studied calculus, the limit concept there is similar.
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
i see . if we say that x> 2 x approaches 2 . what comment would you have?
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
i have studied CAL but in a very mechanical way!
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
You can say it and it implies that the limit is 2 but doesn't say anything about how you got that.
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
do we care how we get there . is that important for us?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
How do we know that your limit is valid?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
The limit of 1 + 1/2 +1/4 + 1/8 ......+1/2^n has a limit of 2 Do you believe me?
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
well you told me thats
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
Ok, it's not 2 it's 3
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
no its not !
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
Anyway, the point is that it converges and it is fairly easy to establish that 2 is an upper bound and with a little more work that the sum is actually 2
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
And now I am off to bed, I'm afraid.....
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
visually . dw:1348445954284:dw
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
thanks you Rock. :)
 2 years ago

hal_stirrup Group TitleBest ResponseYou've already chosen the best response.0
you too
 2 years ago
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