- #1

Werg22

- 1,427

- 1

Is this true?

f(x)=sin(x)=x(x-2pi)(x-4pi)(x-6pi)...

edit:

f(x)=sin(x)=x(x-pi)(x-2pi)(x-3pi)(x-4pi)...

f(x)=sin(x)=x(x-2pi)(x-4pi)(x-6pi)...

edit:

f(x)=sin(x)=x(x-pi)(x-2pi)(x-3pi)(x-4pi)...

Last edited:

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 Werg22
- Start date

- #1

Werg22

- 1,427

- 1

f(x)=sin(x)=x(x-2pi)(x-4pi)(x-6pi)...

edit:

f(x)=sin(x)=x(x-pi)(x-2pi)(x-3pi)(x-4pi)...

Last edited:

- #2

TD

Homework Helper

- 1,022

- 0

It doesn't seem right to me, try x = 2pi.

- #3

Werg22

- 1,427

- 1

Sorry I did a mistake. I meant sin(x).

- #4

TD

Homework Helper

- 1,022

- 0

Try x = pi.

- #5

Werg22

- 1,427

- 1

I'm affraid I do not see what you mean... the serie is infinite...

- #6

shmoe

Science Advisor

Homework Helper

- 1,994

- 1

No, your infintite product does not even converge.

Infinite product form for sine:

[tex]\sin(x)=x\prod_{n=1}^{\infty}\left(1-\frac{x^2}{(\pi n)^2} \right)[/tex]

Infinite product form for sine:

[tex]\sin(x)=x\prod_{n=1}^{\infty}\left(1-\frac{x^2}{(\pi n)^2} \right)[/tex]

Last edited:

- #7

TD

Homework Helper

- 1,022

- 0

I was trying to point out that sin(pi) = 0 but your serie would never go to 0.Werg22 said:I'm affraid I do not see what you mean... the serie is infinite...

- #8

Werg22

- 1,427

- 1

Sorry what I really meant is f(x)=sin(x)=x(x-pi)(x-2pi)(x-3pi)(x-4pi)...

Really sorry.

Really sorry.

- #9

shmoe

Science Advisor

Homework Helper

- 1,994

- 1

Werg22 said:Sorry what I really meant is f(x)=sin(x)=x(x-pi)(x-2pi)(x-3pi)(x-4pi)...

Really sorry.

Still doesn't converge, the absolute value of the terms is growing without bound.

Share:

- Last Post

- Replies
- 3

- Views
- 313

- Replies
- 7

- Views
- 510

- Replies
- 5

- Views
- 1K

- Last Post

- Replies
- 1

- Views
- 459

- Replies
- 16

- Views
- 508

- Last Post

- Replies
- 3

- Views
- 576

MHB
Find the Product

- Last Post

- Replies
- 3

- Views
- 544

MHB
True or false

- Last Post

- Replies
- 1

- Views
- 894

- Last Post

- Replies
- 4

- Views
- 587

- Last Post

- Replies
- 4

- Views
- 1K