Why are the square errors in Prob. 5 substantially larger than in Prob. 3?

Data from Prob. 3

Find the trigonometric polynomial F(x) of the form (2) for which the square error with respect to the given f(x) on the interval -Ï€ < x < Ï€ is minimum Compute the minimum value for N = 1, 2, · · ·, 5 (or also for larger values if you have a CAS).

f (x) = |x| (-π < x < π)

Data from Prob. 5

Find the trigonometric polynomial F(x) of the form (2) for which the square error with respect to the given f(x) on the interval -Ï€ < x < Ï€ is minimum Compute the minimum value for N = 1, 2, · · ·, 5 (or also for larger values if you have a CAS).

if -T