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#101 Re: Help Me ! » Finding the limit of a sequence (BASIC) » 2010-04-26 08:32:23

Hi ZHero

I have

for the first one, though I am stuck on the second.

The first attempt I expanded the

and multiplied by

from this I got

as my first denominator

I think I am going wrong, becuase things are becoming huge and I think I am going wrong.

Sorry to be a pain.

David dizzy

#102 Dark Discussions at Cafe Infinity » Graham's Number » 2010-04-26 05:54:55

DaveRobinsonUK
Replies: 3

Has anybody any ideas on how to find out the digits?

#103 Re: Help Me ! » Finding the limit of a sequence (BASIC) » 2010-04-26 05:34:01

Yes there is plenty of cake left ;-)

I just did my exercises for finding the limits and got them all correct, so very happy over here
and very grateful too.

This forum is really cool.
D

#104 Re: Help Me ! » Finding the limit of a sequence (BASIC) » 2010-04-25 06:20:36

Hi Guys

Thank you all for you help with this and your support, you are all very kind indeed. And the party went very well. One extremely happy little girl and parents.

O.k, now thats over with, back to the maths.

I found this a couple of times since I restarted, that I have forgotten certain rules regarding Algebra so at times you will just have to bare with me and forgive my ignorance.

So regarding when you add L/3 to the LHS and add it to the L, am I right in considering the L that is added as 3/3L and L/3 as 1/3L.

It seems reasonably straight forward, but I just wanted to be sure before I go on and do my exercises.

Also it would be better for me and others who read my posts if I knew how to write my equations in LaTeX, does anybody know of any good resources from which to learn the basics.

Thanks So Much

David

#105 Re: Help Me ! » Finding the limit of a sequence (BASIC) » 2010-04-24 02:27:16

Hi Bobbym

Thank you for getting back so soon, and for the advice about getting back into maths, very rusty, though I am getting better.

It's ,my daughters 2nd Birthday today and we're expecitng a truck load of people a kids around so I'll take a look at it later on.

Thank you

David

#106 Help Me ! » Finding the limit of a sequence (BASIC) » 2010-04-24 02:01:31

DaveRobinsonUK
Replies: 19

Hi

After nearly 20yrs since doing any maths, nearly a year ago now I decided to pick up the baton again and via a AS Maths course have eventually come to Sequences and Series. I have been fine so far with Inductive Definition and and I remember Sigma Notation from ages ago. The problem I am having is with Limit of Sequence.

Specifically 'algebraically finding the limit'

I have been battling with this for about 5 days and looking round the internet for something to help but with no avail.

Here is an example

L = 1/2L + 1/4

Hence, 1/2L=1/4 then L = 1/2
Limit is 1/2.

Another example is

(b) Find the limiting value as n tends to infinity.

then it explains

L = 2-1/3L

Hence 4/3L = 2 then L = 3/2
Limit is 1.5.

I am not seeing how 4/3L is coming from L = 2-1/3L and it is causing me problems.

If anyone could help me understand this I would be very grateful.

David

ps. does this site use LaTEX?

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