Design a Matlab function that evaluates the taylor series approximation

T_n=x^k/k! =1+x+x^2/2! +x^3/3!++x^n/n! to the function e^x near 0.

b) Write a Matlab script that uses the function in (a) to plot the relative error in the Taylor series approximation T_n for n=4,8,16and 32 across [-1 1] for 51 values of x.

c) Write a Matlab script that uses the function in(a) to plot the relative error in the Taylor series approximation T_n as a function of n=1,2,100 for x=10 and x=-10. Matlab function to use subplot, 'semilogy , etc.