$x_i$

$y\left(x_i\right)=x_i$

$N=3,y_3\left(x_i\right)$

$N=\text{5},y_{\text{5}}\left(x_i\right)$

$N=\text{7},y_{\text{7}}\left(x_i\right)$

0

0

0

0

0

0.2

0.2

0.19035634

0.19695426

0.19999993

0.4

0.4

0.38974654

0.39764528

0.39999996

0.6

0.6

0.59126746

0.59873654

0.59999994