Error Analysis

\( x \) \( h=0.01 \) \( h=0.001 \) \( h=0.0001 \) \( h=0.0000001 \) Exact
0.0 1.000008 1.000000 1.000000 1.010303 1.000000
1.0 2.718304 2.718282 2.718282 2.753353 2.718282
2.0 7.389118 7.389057 7.389056 7.283063 7.389056
3.0 20.085704 20.085539 20.085537 20.250467 20.085537
4.0 54.598605 54.598155 54.598151 54.711789 54.598150
5.0 148.414396 148.413172 148.413161 150.635056 148.413159