Hey I'm having trouble with the 2nd part of this question:

Find the fifth-order Taylor polynomial, then find an interval centered at x = x(o) in which the approximation error $\displaystyle |f(x) - P5(x)| $ is less than 0.01.

$\displaystyle f(x) = \sqrt {x} : x(o) = 1$

So I found the fifth-order taylor polynomial which is:

$\displaystyle P5(x) = 1 + \frac {1}{2}(x-1) - \frac {1}{8}(x-1)^2 + \frac {1}{16}(x-1)^3 - \frac {5}{128}(x-1)^4 + \frac {7}{256}(x-1)^5$

Now how do I find the approximation error? Thanks in advance.