# Thread: Find the Taylor polynomial

1. ## Find the Taylor polynomial

Find the Taylor polynomial of degree 4 (i.e. the ﬁrst ﬁve terms) for the function f(x) = x^(3/2) , about the centre c = 1.

2. Originally Posted by al1850
Find the Taylor polynomial of degree 4 (i.e. the ﬁrst ﬁve terms) for the function f(x) = x^(3/2) , about the centre c = 1.
Well by definition this polynomial is:

$p(x)=f(1)+f'(1)(x-1)+\frac{f''(1)(x-1)^2}{2} + \frac{f'''(1)(x-1)^3}{6}+\frac{f''''(1)(x-1)^4}{24}$

Now what is the real problem?

RonL

3. $
p(x)=1+\frac{3}{2}(x-1)+\frac{3}{4}\frac{(x-1)^2}{2!} + \frac{-3}{8}\frac{(x-1)^3}{3!}+\frac{9}{16}\frac{(x-1)^4}{4!}
$

Don't know how to do next.
$