Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

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

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

Offline

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

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

Offline

Hmm, it is hard to guess what the OP meant

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

Offline

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

Did you mean order in probability?

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

Offline

Pages: **1**