Calculate cos(.1) to seven decimal places.
Here is where I am:
Since $\displaystyle R_{5} (.1) = |-\cos(c)| \frac{.1^{12}}{12!} \leq \frac{.1^{12}}{12!} < ... $
$\displaystyle \cos(.1) = 1 - \frac{.1^2}{2!} + \frac{.1^4}{4!} - \frac{.1^6}{6!} + \frac{.1^8}{8!} - \frac{.1^{10}}{10!} + \frac{.1^{12}}{12!}$
Oh oops.. I was not accounting for the .1 in my error term, so that makes this allot simpler.