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#1 2020-03-25 23:25:25

666 bro
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Registered: 2019-04-26
Posts: 58

Sequences

How would the limit of an sequence be oscillatory explain with an example?


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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#2 2020-03-26 01:04:50

bob bundy
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Registered: 2010-06-20
Posts: 8,769

Re: Sequences

I can think of two ways of interpreting this question.  My first thought was

1,  -1,  1,  -1,  1,  -1,  ……..

The sum of terms oscillates between 1 and zero depending on whether you've reached an odd term or an even.

But then I thought: can you really refer to this as a limit if we're not getting closer and closer to a value?

Here's an example where the terms do tend to a limit but oscillating either side of that value:

1/1,  2/1,  3/2,  5/3,  8/5,  13/8,  21/13,  …….

The numbers are successive numbers in the Fibonacci sequence (term r+2 is calculated by adding term r and term r+1) and tends to the golden ratio, 1.618....

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob Bundy smile

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#3 2020-03-27 07:11:45

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,896
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Re: Sequences

Hmm, it is hard to guess what the OP meant


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#4 2020-03-27 14:32:58

666 bro
Member
Registered: 2019-04-26
Posts: 58

Re: Sequences

Did you mean order in probability?


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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