Part a)
Iteration:1 value:1.717948718 error:1.4102089620e-02
Iteration:2 value:1.732218859 error:1.6805176076e-04
Iteration:3 value:1.732050802 error:5.4926438953e-09
Iteration:4 value:1.732050808 error:0.0000000000e+00
Iteration:5 value:1.732050808 error:2.2204460493e-16
Apparent order of convergence at iteration 1:2.03951
Apparent order of convergence at iteration 2:2.18839
Apparent order of convergence at iteration 3:Inf
Apparent order of convergence at iteration 4:0
Part b)
Iteration:1 value:3.734693878 error:1.3828946866e-01
Iteration:2 value:3.859328134 error:1.3655212414e-02
Iteration:3 value:3.874581141 error:1.5977950841e-03
Iteration:4 value:3.872966331 error:1.7014963079e-05
Iteration:5 value:3.872983325 error:2.1039905373e-08
Iteration:6 value:3.872983346 error:2.7711166695e-13
Iteration:7 value:3.872983346 error:0.0000000000e+00
Apparent order of convergence at iteration 1:2.17025
Apparent order of convergence at iteration 2:1.49969
Apparent order of convergence at iteration 3:1.70542
Apparent order of convergence at iteration 4:1.60971
Apparent order of convergence at iteration 5:1.63572
Apparent order of convergence at iteration 6:Inf