A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years 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 ??
anonymous
 3 years 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 ??

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Well, it's convenient for looking at convergence and limits, no?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so what do you think of my question?.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Well, we can sum up the series (if the limit of partial sums exists)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0we can? how do we know if the limit of partial sums exists?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so your saying if a series Converges it partial sums exists

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Well, if a series diverges, there wouldn't be any convergence, right?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0And you wouldn't be able to add it up however hard you tried

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0That's what I'm saying, if it converges then you can (usually) add it up (analytically).

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i 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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0If the series converges then you can take a limit

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0All 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.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0am sorry am being a pain.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the limit of a divergent series is infinite and some other limits might not exist (there are shades of convergence, absolute, conditional...)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0You must have a way, analyytically, to approach a limit (even if you do not actually ever reach it)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I am assuming you have studied calculus, the limit concept there is similar.

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i have studied CAL but in a very mechanical way!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0You can say it and it implies that the limit is 2 but doesn't say anything about how you got that.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0do we care how we get there . is that important for us?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0How do we know that your limit is valid?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0The limit of 1 + 1/2 +1/4 + 1/8 ......+1/2^n has a limit of 2 Do you believe me?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0well you told me thats

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Ok, it's not 2 it's 3

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Anyway, 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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0And now I am off to bed, I'm afraid.....

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0visually . dw:1348445954284:dw
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.