Matlab problem It is much better to interpolate on a grid made up of points that are

clustered towards the endpoints. Interpolate $f(x)$ using the Chebyshev points

$x_i=cos(\frac{(2i+1)}{2n+2}),i=0,$dots,$n,$

and Lagrange interpolation. Can you get the interpolation to fail now for the values

of $n$ that you examined in the first two problems? Justify your answer with suitable

plots.

matlab code pls