Math/CS 466/666 Midterm
Problem 1(iv)

  n                      h          approximation                  error
  0   1.00000000000000e+00   2.76719446066551e+00  -8.03435822253412e+00
  1   5.00000000000000e-01   9.03399588382488e+00  -1.76755679937474e+00
  2   2.50000000000000e-01   1.04524890990002e+01  -3.49063584199394e-01
  3   1.25000000000000e-01   1.07218367281273e+01  -7.97159550723413e-02
  4   6.25000000000000e-02   1.07821250202443e+01  -1.94276629552973e-02
  5   3.12500000000000e-02   1.07967275687905e+01  -4.82511440914524e-03
  6   1.56250000000000e-02   1.08003483995321e+01  -1.20428366754499e-03
  7   7.81250000000000e-03   1.08012517370814e+01  -3.00946118247047e-04
  8   3.90625000000000e-03   1.08014774544757e+01  -7.52287239471627e-05
  9   1.95312500000000e-03   1.08015338765024e+01  -1.88066972377499e-05
 10   9.76562500000000e-04   1.08015479815667e+01  -4.70163289989500e-06
 11   4.88281250000000e-04   1.08015515078562e+01  -1.17534345278614e-06
 12   2.44140625000000e-04   1.08015523897520e+01  -2.93447595112184e-07
 13   1.22070312500000e-04   1.08015526080235e+01  -7.51761426442954e-08
 14   6.10351562500000e-05   1.08015526610834e+01  -2.21162217428628e-08
 15   3.05175781250000e-05   1.08015527087846e+01   2.55849563757238e-08
 16   1.52587890625000e-05   1.08015527999960e+01   1.16796361027127e-07
 17   7.62939453125000e-06   1.08015519622713e+01  -7.20928294839496e-07
 18   3.81469726562500e-06   1.08015538007021e+01   1.11750246745146e-06
 19   1.90734863281250e-06   1.08015486299992e+01  -4.05320046681368e-06
 20   9.53674316406250e-07   1.08015657663345e+01   1.30831349061111e-05
 21   4.76837158203125e-07   1.08016271591187e+01   7.44759190247635e-05
 22   2.38418579101562e-07   1.08016643524170e+01   1.11669217364607e-04
 23   1.19209289550781e-07   1.08023948669434e+01   8.42183743731795e-04
 24   5.96046447753906e-08   1.08065032958984e+01   4.95061269880992e-03
 25   2.98023223876953e-08   1.08096923828125e+01   8.13969961287242e-03
 26   1.49011611938477e-08   1.22619628906250e+01   1.46041020742537e+00
 27   7.45058059692383e-09   1.20292968750000e+01   1.22774419180037e+00
 28   3.72529029846191e-09   1.62421875000000e+01   5.44063481680037e+00
 29   1.86264514923096e-09   1.93750000000000e+01   8.57344731680037e+00
 30   9.31322574615479e-10   4.50000000000000e+00  -6.30155268319963e+00