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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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#1 2005-11-06 09:12:09

kylekatarn
Power Member

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Prove this.

Prove that if

converges to infinity then

Last edited by kylekatarn (2005-11-06 09:14:07)

 

#2 2005-12-30 05:32:48

krassi_holmz
Real Member

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Re: Prove this.

I'm not sure, but I think:

=>
=>

So

Last edited by krassi_holmz (2005-12-30 05:36:47)


IPBLE:  Increasing Performance By Lowering Expectations.
 

#3 2006-01-03 06:03:43

Ricky
Moderator

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Re: Prove this.

krassi_holmz wrote:

I'm not sure, but I think:

=>
=>

So

Let:



Then:



But:



Not 0.

In short,
does not always equal 0, although it certainly can.

Last edited by Ricky (2006-01-03 06:06:39)


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."
 

#4 2006-01-03 10:51:56

krassi_holmz
Real Member

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Re: Prove this.

I understand. I was not right. Here's another way, I think:
That must be right:

, so
, because u_n coverages to infty.
Let u_n = k. Then

Last edited by krassi_holmz (2006-01-03 11:01:33)


IPBLE:  Increasing Performance By Lowering Expectations.
 

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