Thread: Taylor Series

Directions: Find the Taylor series for centered at the given value of a. [Assume that f has a power series expansion. Do not show that ]

Problem:



The problem am having, or maybe i am confused, is when i start to list out the derivatives





and so on, the functions become difficult to get a value for that i can use to recognize a pattern. I am taking the derivative correctly right? If so can someone help me list the first 3-4 terms of the taylor series?

Thanks

are you asking for the sequence of coefficients?

as in (1)(3)(5)(7)... over powers of 2?

There is a nice trick to find the product of odd numbers.