(new ways to find taylor series) it's not always easy to write down taylor series representations by computing all the successive derivatives of a function as follows. (a) find, by evaluating derivatives at 0, the first three nonzero terms in the taylor series about 0 for the function sin2 (b) use taylor series expansions already established in the text or class such as e", sin a, and cos z to find an infinite series representation expansion for the function g(x) - sin2. 3. use taylor series expansions already established in the text or class such as e", sinx, and cos a to find the sums of the series 27n (a) x02 a2n n! (c) ? 000 22 "(2n)!