1. ## Taylor Expansion....

Find the Taylor Expansion:

$f(x)=3x^3+2x^2+x+1$ as a polynomial in $x-1$ so $a =1$

I'm not exactly sure what the question is asking me to do with the $x-1$, throwing me for a loop. I know how to find the expansion if we're only looking at $a=1$. The $x-1$ is confusing the hell out of me.

Any help is greatly appreciated!!

2. Just find the Taylor series for $f(x)$ centered at $1$.

3. Originally Posted by ThePerfectHacker
Just find the Taylor series for $f(x)$ centered at $1$.

Find the series using x=1?

4. You need to pay more attention in class, and read the book.

The Taylor series cented at one would be,
$f(1)+\frac{f'(1)(x-1)}{1!}+\frac{f''(1)(x-1)^2}{2!}+\frac{f'''(1)(x-1)^3}{3!}+...$.

You should be able to do that.

5. Originally Posted by ThePerfectHacker
You need to pay more attention in class, and read the book.

The Taylor series cented at one would be,
$f(1)+\frac{f'(1)(x-1)}{1!}+\frac{f''(1)(x-1)^2}{2!}+\frac{f'''(1)(x-1)^3}{3!}+...$.

You should be able to do that.

Well, yeah I know how to do that. I have spent the last hour reading the 2 chapters on Taylor expansions. However, nowhere in the book does it give a question worded the way I originally posted in the topic. This was a problem created by my professor at the end of the last class. The wording (x-1) confused me.