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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 ??
 one year ago
 one year ago
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 ??
 one year ago
 one year ago

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hal_stirrupBest ResponseYou've already chosen the best response.0
thanks of viewing.
 one year ago

estudierBest ResponseYou've already chosen the best response.1
Well, it's convenient for looking at convergence and limits, no?
 one year ago

hal_stirrupBest ResponseYou've already chosen the best response.0
so what do you think of my question?.
 one year ago

estudierBest ResponseYou've already chosen the best response.1
Well, we can sum up the series (if the limit of partial sums exists)
 one year ago

hal_stirrupBest ResponseYou've already chosen the best response.0
we can? how do we know if the limit of partial sums exists?
 one year ago

hal_stirrupBest ResponseYou've already chosen the best response.0
so your saying if a series Converges it partial sums exists
 one year ago

estudierBest ResponseYou've already chosen the best response.1
Well, if a series diverges, there wouldn't be any convergence, right?
 one year ago

estudierBest ResponseYou've already chosen the best response.1
And you wouldn't be able to add it up however hard you tried
 one year ago

hal_stirrupBest 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?
 one year ago

estudierBest 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).
 one year ago

hal_stirrupBest 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
 one year ago

estudierBest ResponseYou've already chosen the best response.1
If the series converges then you can take a limit
 one year ago

hal_stirrupBest 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.
 one year ago

hal_stirrupBest ResponseYou've already chosen the best response.0
am sorry am being a pain.
 one year ago

estudierBest 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...)
 one year ago

estudierBest 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)
 one year ago

estudierBest ResponseYou've already chosen the best response.1
I am assuming you have studied calculus, the limit concept there is similar.
 one year ago

hal_stirrupBest ResponseYou've already chosen the best response.0
i see . if we say that x> 2 x approaches 2 . what comment would you have?
 one year ago

hal_stirrupBest ResponseYou've already chosen the best response.0
i have studied CAL but in a very mechanical way!
 one year ago

estudierBest 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.
 one year ago

hal_stirrupBest ResponseYou've already chosen the best response.0
do we care how we get there . is that important for us?
 one year ago

estudierBest ResponseYou've already chosen the best response.1
How do we know that your limit is valid?
 one year ago

estudierBest 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?
 one year ago

hal_stirrupBest ResponseYou've already chosen the best response.0
well you told me thats
 one year ago

estudierBest ResponseYou've already chosen the best response.1
Ok, it's not 2 it's 3
 one year ago

estudierBest 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
 one year ago

estudierBest ResponseYou've already chosen the best response.1
And now I am off to bed, I'm afraid.....
 one year ago

hal_stirrupBest ResponseYou've already chosen the best response.0
visually . dw:1348445954284:dw
 one year ago

hal_stirrupBest ResponseYou've already chosen the best response.0
thanks you Rock. :)
 one year ago
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