# Sequences

Watch
Announcements
#1
0
4 years ago
#2
(Original post by Rose86)
[...]
What have you tried? For the first part: can you see why ? (hint: )
0
#3
(Original post by Zacken)
What have you tried? For the first part: can you see why ? (hint: )
Yes, but I dont know how to define C=...
0
4 years ago
#4
(Original post by Rose86)
Yes, but I dont know how to define C=...
You don't need to define C, the definition has been given to you?
0
#5
(Original post by Zacken)
You don't need to define C, the definition has been given to you?
I mean I dont know how to use this equation C=1/a+...
0
4 years ago
#6
(Original post by Rose86)
I mean I dont know how to use this equation C=1/a+...
First off, it's not an equation. Second off, to ensure that the object (1/a) + b exists, that is, C is well-defined, you need to ensure that where a is a general element of A. Can you see why this is true?

Second, you need to show that the supremem of C exists. What is your definition of supremem? How can you apply it here?
0
#7
(Original post by Zacken)
First off, it's not an equation. Second off, to ensure that the object (1/a) + b exists, that is, C is well-defined, you need to ensure that where a is a general element of A. Can you see why this is true?

Second, you need to show that the supremem of C exists. What is your definition of supremem? How can you apply it here?
Sorry, i used word equation because English is not my first Language
0
4 years ago
#8
(Original post by Rose86)
I mean I dont know how to use this equation C=1/a+...
If L = inf A > 0, then by definition, for all so how large can become? How large can become?

It may help if you think of a specific set A with a positive infimum e.g.
0
4 years ago
#9
(Original post by Zacken)
What is your definition of supremem?
I guess it's the same as the definition of supremum?
1
4 years ago
#10
(Original post by Rose86)
Sorry, i used word equation because English is not my first Language
We really ought to use a different symbol here, to indicate a definition, rather than equality. Often people write to show this.
0
#11
(Original post by atsruser)
If L = inf A > 0, then by definition, for all so how large can become? How large can become?

It may help if you think of a specific set A with a positive infimum e.g.
I know that when I put bigger and bigger number then it will be arbitary close to zero, nacer will be zero
0
4 years ago
#12
(Original post by Rose86)
I know that when I put bigger and bigger number then it will be arbitary close to zero, nacer will be zero
The question was how large 1/a can become, not how small...
0
4 years ago
#13
(Original post by Rose86)
I know that when I put bigger and bigger number then it will be arbitary close to zero, nacer will be zero
To complement what the others are saying, in a purely unrigorous, informal way - the intuition here should be: you want to make (1/a + b) as big as possible. Which means making b as big as possible and (1/a) as big as possible. To make the latter as big as possible, you should make a as small as possible, etc...
0
#14
(Original post by Zacken)
To complement what the others are saying, in a purely unrigorous, informal way - the intuition here should be: you want to make (1/a + b) as big as possible. Which means making b as big as possible and (1/a) as big as possible. To make the latter as big as possible, you should make a as small as possible, etc...
Thank you
0
X

new posts
Back
to top
Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

### Poll

Join the discussion

#### If you haven't confirmed your firm and insurance choices yet, why is that?

I don't want to decide until I've received all my offers (72)
38.5%
I am waiting until the deadline in case anything in my life changes (29)
15.51%
I am waiting until the deadline in case something in the world changes (ie. pandemic-related) (8)
4.28%
I am waiting until I can see the unis in person (20)
10.7%
I still have more questions before I made my decision (21)
11.23%
No reason, just haven't entered it yet (18)
9.63%
Something else (let us know in the thread!) (19)
10.16%