Math Is Fun Forum

kylekatarn

Member

Registered: 2005-07-24

Posts: 445

.

.

Last edited by kylekatarn (2020-01-04 02:25:35)

krassi_holmz

Real Member

Registered: 2005-12-02

Posts: 1,905

Re: .

I'm not sure, but I think:

=>

=>

So

Last edited by krassi_holmz (2005-12-29 06:36:47)

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IPBLE:  Increasing Performance By Lowering Expectations.

Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

Re: .

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 (2006-01-02 07:06:39)

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"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..."

krassi_holmz

Real Member

Registered: 2005-12-02

Posts: 1,905

Re: .

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 (2006-01-02 12:01:33)

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IPBLE:  Increasing Performance By Lowering Expectations.