Write your own short MATLAB function Pex5 (x,n) returning the value at x of the Taylor...

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Write your own short MATLAB function Pex5 (x,n) returning the value at x of the Taylor polynomial Pn(x) of degree n about a = 0 of the function ln((1 + x)/(1 − x)) (see formula (3.12) on p. 25 of the class notes). Print your code and give 15 significant digits of the value P13 (0.2) =Pex5 (0.2,13) that your code obtains. Print also the absolute error |In(1.5) - P13 (0.2)| expressed in MATLAB by Hints: • To minimize the number of multiplications when n ≥ 3 you should use the value t := x². Create a file called Pex5.m and start the file as follows function y-Pex5 (x,n) if (n<=0) y=0; elseif (n<=2) y=2*x; else t=x*x; the rest of your code here abs(log(1.5) - Pex5(0.2, 13)). end Write your own short MATLAB function Pex5 (x,n) returning the value at x of the Taylor polynomial Pn(x) of degree n about a = 0 of the function ln((1 + x)/(1 − x)) (see formula (3.12) on p. 25 of the class notes). Print your code and give 15 significant digits of the value P13 (0.2) =Pex5 (0.2,13) that your code obtains. Print also the absolute error |In(1.5) - P13 (0.2)| expressed in MATLAB by Hints: • To minimize the number of multiplications when n ≥ 3 you should use the value t := x². Create a file called Pex5.m and start the file as follows function y-Pex5 (x,n) if (n<=0) y=0; elseif (n<=2) y=2*x; else t=x*x; the rest of your code here abs(log(1.5) - Pex5(0.2, 13)). end