Develop this function into maclaurin series

[asi123]

Homework Statement

Hey.
I need to develop this function into maclaurin series.
Did I do it correctly?

Homework Equations

The Attempt at a Solution

 

[Alex6200]

Your picture didn't seem to get uploaded right.

But all you want to do is set up a polynomial approximation, like sin(x) = a + bx + cx^2 + dx^3 (and so on), and then keep taking derivatives on both sides until you can solve for a, then b, then c, and so on.

If you have TI-89 you can check you results by going to the algebra menu and entering taylor if your center is 0.

 

[Dick]

Your picture didn't seem to get uploaded right.

But all you want to do is set up a polynomial approximation, like sin(x) = a + bx + cx^2 + dx^3 (and so on), and then keep taking derivatives on both sides until you can solve for a, then b, then c, and so on.

If you have TI-89 you can check you results by going to the algebra menu and entering taylor if your center is 0.

It looks pretty good. Except I think you are off by an overall sign. 6-5x-x^2=-(x-1)(x+6).

 

[asi123]

It looks pretty good. Except I think you are off by an overall sign. 6-5x-x^2=-(x-1)(x+6).

Yeah, I noticed it later on, 10x.