N .ch expN(x) = { (2) n! n=0 Write a Matlab program that calculates expN(x) and the relative deviation, defined in Eq. (1), between expN(..) and the result from Matlab's exp func- tion. Determine the order N necessary to obtain a relative deviation of less than 1.0 x 10-8 for x = 0.1. Please state your results in your word document and upload the program file to the drop box. The series expansion for the hyperbolic sine function consists of the odd terms in Eq. (2) K .22k+1 sinhN(2) = with N = 2K +1. (2k + 1)! (3) k=0 Repeat (a) for sinhN(2)