/ dt content 4483 216 , 1/courses/FA 18-ENG202AMATLAB%20Class%20work%204.pdf - -rid- MATLAB Class Work 4 PROBLEM 1: Compute the value of x by using the below approximation formala: where N is an integer such than N> 0. How many terms are nceded to obtain an accuracy of 1e-12? Discuss the accuracy of the above series as the value of N increases. Support your answers with a MATLAB script that computes the value of using the above formula and shows a graph comparing the actual value of using the above formula for different values of N in the range of [1; 200] with the exact value of m PROBLEM 2: The Legendre polynomials, denoted by P(), are defined using the following recurrence relation (n+1)Pa)-(2n1)xP()+n-(x) 0 where the first three polynomials are defined as: A(x)-1 A(x) x P (x) = 3x2-1 Write a MATLAB script that will a) Compute the next three Legemdre polynomials. b) Plot all of the six polymomials over the interval |-1; 1] on the same graph. Make sure to give your plot a professional aspect by properly annotating the z-axis and y-axis, include a legend that distingsishes betwees the polynomials, show grid that will make the respective polysomial curves casily readable and, finally, properly adjust the axes limits