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chesslw
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Joined: 17 Jan 2011
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Skype: chesslw
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 Posted: Sun Nov 27, 2011 3:52 pm Post subject: |
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| Borg7 wrote: | | chesslw wrote: | I might be able to answer this, or at least give you a hint. It really depends how much you have "proved" so far.
But if you know that any subsequence of a convergent sequence converges to the same limit (or if not then use for all epsilon there exists N etc etc it isn't too hard), then consider:
X_6n which is a subsequence of X_2n and X_3n, therefore X_2n and X_3n converges to the same limit. Similarly X_6n+3 is a subsequence of X_2n+1 and X_3n, and so X_2n+1 and X_3n have the same limit.
Therefore all 3 sequences have the same limit, x say, so the whole sequence converges to the same limit.
Of course you should use formal notation, i.e. epsilon-N notation.
Hope that helps!
Edit- missed the v. important bolded part the first time... |
THANK YOU  |
No problem... I thought I heard you did physics??? |
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forced
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Joined: 28 Dec 2009
Posts: 1498
Skype: forced11
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| Posted: Sun Nov 27, 2011 11:24 pm Post subject: |
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| Brokerstar wrote: | | BetMagicMoney wrote: |
bro i just owed you so hard   |
At leveling? Are you sure? |
Im still trying to figure out how much he owed you...
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When the world says, “Give up”. Hope whispers, “Try it one more time" |
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BetMagicMoney
Forum Moderator & Spam Police
Joined: 22 Mar 2010
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Skype: samuel.woodhams
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| Posted: Sun Nov 27, 2011 11:48 pm Post subject: |
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| Brokerstar wrote: | | BetMagicMoney wrote: |
bro i just owed you so hard |
At leveling? Are you sure? |
but are you sure?
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"When everything seems to be going against you, remember that the airplane takes off against the wind, not with it."
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follow me on twitter @BetMagicMoney |
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chesslw
Reader of Souls
Joined: 17 Jan 2011
Posts: 998
Skype: chesslw
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| Posted: Mon Nov 28, 2011 12:19 am Post subject: |
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| forced wrote: | | Brokerstar wrote: | | BetMagicMoney wrote: |
bro i just owed you so hard |
At leveling? Are you sure? |
Im still trying to figure out how much he owed you... |
lololol forced  I didn't even notice that |
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Borg7
Reader of Souls
Joined: 20 Nov 2009
Posts: 946
Skype: borg177
Location: Germoney
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| Posted: Fri Dec 02, 2011 2:49 am Post subject: |
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chesslw, the solution you posted was actually almost completely correct (except for the notation obv), ty again.
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forced
Forum Veteran
Joined: 28 Dec 2009
Posts: 1498
Skype: forced11
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| Posted: Fri Dec 02, 2011 3:37 am Post subject: |
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| chesslw wrote: | | forced wrote: | | Brokerstar wrote: | | BetMagicMoney wrote: |
bro i just owed you so hard |
At leveling? Are you sure? |
Im still trying to figure out how much he owed you... |
lololol forced I didn't even notice that |
lol... I thought it was fitting...
_________________
When the world says, “Give up”. Hope whispers, “Try it one more time" |
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chesslw
Reader of Souls
Joined: 17 Jan 2011
Posts: 998
Skype: chesslw
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| Posted: Fri Dec 02, 2011 12:20 pm Post subject: |
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| Borg7 wrote: | | chesslw, the solution you posted was actually almost completely correct (except for the notation obv), ty again. |
No problem- if you have any pure maths related questions (though no logic theory) then you can ask me.
In all these questions there is always a small trick- e.g. here you need to consider X_6n and X_6n+3, and then of course write down the answer formally (given epsilon, choosing some N s.t. for all n>N, X_n < epsilon blah blah blah). Once you have done a few, you will be able to develop intuition for these tricks just like in poker. |
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