Example 3.  Error Analysis.  Investigate the error for the Chebyshev polynomial approximations in Example 2.
Solution 3.

3 (a).  Investigate the error for the Chebyshev interpolation polynomial ,  of degree n = 2.

3 (b).  Investigate the error for the Chebyshev interpolation polynomial ,  of degree n = 2.

3 (c).  Investigate the error for the Chebyshev interpolation polynomial ,  of degree n = 3.

3 (d).  Investigate the error for the Chebyshev interpolation polynomial ,  of degree n = 4.

3 (e).  Investigate the error for the Chebyshev interpolation polynomial ,  of degree n = 5.

(c) John H. Mathews 2003