College Calculus 2 (Taylor Series): US Air Force Academy

Question

Use the definition of a Taylor series to find the first four non-zero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list).

f(x) = 4 cos²(x), a=0

Answer 1

Without going through all the derivatives, I get the following Taylor's Series about a = 0

f(x) = 4 - 4x² + (4/3)x⁴ - (8/45)x⁶ ....