Math Is Fun Forum

virtualinsanity

Member

Registered: 2007-03-11

Posts: 38

Taylor series (calc) problem

Ok, I'm given

g(x) = cos(2x), a=0, (-2pi, 2pi)

Using this information, I have to answer the following questions.
a) Find the Taylor series T for the given function g based at the given point a.
b) Find, if possible, an error-bound for the difference between g(x) and its degree (n-1) Taylor approximation T sub n-1 of x on the given interval.
c) On the basis of the answer to (b), can you conclude that T=g on the interval given?

I'm confused as to how to go about this, so someone can explain how this is done, I would REALLY appreciate it!

Thanks in advance.