taylor series

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

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.

Quote:

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Originally Posted by mr_motivator

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

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