- #1

Swapnil

- 459

- 5

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter Swapnil
- Start date

- #1

Swapnil

- 459

- 5

- #2

arildno

Science Advisor

Homework Helper

Gold Member

Dearly Missed

- 10,089

- 135

In asymptotic analysis.

- #3

CRGreathouse

Science Advisor

Homework Helper

- 2,842

- 0

[tex]\sin(x)=x-\frac{x^3}{6}+O(x^5)[/tex]

- #4

arildno

Science Advisor

Homework Helper

Gold Member

Dearly Missed

- 10,089

- 135

And isn't that, really, an expression for sin(x)'s asymptotic behaviour as x ambles peacefully off towards the origin?

(If you write sin(x) with an explicit remainder term, say, by utilization of the mean-value theorem for integrals, then it is of course something different, but we wouldn't use O's in that case).

(If you write sin(x) with an explicit remainder term, say, by utilization of the mean-value theorem for integrals, then it is of course something different, but we wouldn't use O's in that case).

Last edited:

- #5

CRGreathouse

Science Advisor

Homework Helper

- 2,842

- 0

arildno said:And isn't that, really, an expression for sin(x)'s asymptotic behaviour as x ambles peacefully off towards the origin?

Oh yes absolutely. It's just a different way of thinking about it.

Share:

MHB
Big O problem

- Last Post

- Replies
- 6

- Views
- 2K

- Last Post

- Replies
- 23

- Views
- 4K

- Last Post

- Replies
- 2

- Views
- 885

- Last Post

- Replies
- 2

- Views
- 883

- Last Post

- Replies
- 3

- Views
- 714

- Last Post

- Replies
- 3

- Views
- 1K

- Replies
- 125

- Views
- 15K

- Last Post

- Replies
- 4

- Views
- 563

- Last Post

- Replies
- 3

- Views
- 696

Challenge
Micromass' big simulation challenge

- Replies
- 38

- Views
- 8K