Please solve question no.1 and show a clear and readable solution. Thanks!!!

I. Taylor Series Expansion 1. The Maclaurin series expansion for cos x is cos x = 1 - -_ + + 2 6! 8! - ... starting with the simplest version, cos x = 1, add terms one at a time to estimate cos (1/3). After each new term is added, compute the true and approximate percent relative errors