Final Exams: Taylor Polynomail Help!!!

Hello!! Boy am I glad that there is such a site!!

I have my final exams approaching in 2 days and im studing

Distance-Ed... so im in dire need of some help!

This is my question!

Determine the first three nonzero terms in the Taylor polynomial

approximations for the given initial value problem:

q) x" + t(x) = 0; x(0)=1, x'(0)=0

I have the final answer, but I want to see the full solution.

The answer is: 1 - (1/6)t^3 + (1/180)t^6 + ...

Please HELPP!!!!!!!!!! :confused:

zee :(