# Taylor Polynomials question

1. Mar 13, 2005

### trap

Show that Pn(x^2) is the 4n+2-nd Taylor polynomial of sin(x^2) by showing that
$$\lim_{n\rightarrow infinity}$$ R2n+1(x^2) = 0.

note that Rn(x) represents the remainder

I'm stuck on this question, can anyone help me please?

Last edited: Mar 13, 2005
2. Mar 13, 2005

### Hurkyl

Staff Emeritus
On what are you stuck? Do you know what Pn(x^2) is? Do you know what R2n+1(x^2) is? Do you know how to prove its limit goes to zero? Do you know why that limit would imply what you're trying to prove?

3. Mar 13, 2005

### trap

I'm stuck on the entire question, I know what P and R are but i don't know how to prove the question. I also do not know why the limit of R helps solve this question.

Last edited: Mar 13, 2005