what are the first three nozero terms of the Taylor series for f(x) = cos(x) about x = -Pi?

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- February 5th 2009, 05:34 PMmr_motivatortaylor series
what are the first three nozero terms of the Taylor series for f(x) = cos(x) about x = -Pi?

- February 5th 2009, 05:45 PMbob murray
The Taylor series expansion for a function f(x) about the point x = a is given by:

So in your case,

and

The process is just a matter of starting with the first term in the above series, inserting your function evaluated at , and doing any necessary derivatives, etc, to see if it vanishes or not. Then proceed to the next term, and so on, until you have three nonvanishing terms. - February 5th 2009, 05:45 PMskeeter