The complete Fourier series for a function F(x) is given by 00 ) = a+ a cos(nx)+2b,sin(nx) F(x)= n=1 n=1 Write a program that uses counter-controlled iteration to compute an approximation of F(x) by substituting the upper summation limit of infinity with a large integer value. Define h = 1 ao = h 2 sin(nh) a 1cos(nh) b = Using your program, determine the value of F(x) within the interval 0 < x < h, and in addition, determine the value of F(x) within the interval h