$Error=\left|Exact3-u\right|$

$u=x{\text{e}}^x-\left(\frac{1}{96}+\frac{1}{288}{\text{e}}^x\right)x+0.03519196200x$

$Exact3=x{\text{e}}^x$

x

0.0000881

0.1104290

0.1105171

0.1

0.0001762

0.2441043

0.2442806

0.2

0.0002643

0.4046933

0.4049576

0.3

0.0003525

0.5963774

0.5967299

0.4

0.0004406

0.8239201

0.8243606

0.5

0.0005287

1.0927426

1.0932713

0.6

0.0006168

1.4090101

1.4096269

0.7

0.0007049

1.7797278

1.7804327

0.8

0.0007930

2.2128498

2.2136428

0.9

0.0008811

2.7174007

2.7182818

1.0